Solving Separable Differential Equations

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Questions

• How do you solve separable differential equations?
• How do you solve separable first-order differential equations?
• How do you solve separable differential equations with initial conditions?
• What are separable differential equations?
• How do you solve the differential equation #dy/dx=6y^2x#, where #y(1)=1/25# ?
• How do you solve the differential equation #y'=e^(-y)(2x-4)#, where #y5)=0# ?
• How do you solve the differential equation #(dy)/dx=e^(y-x)sec(y)(1+x^2)#, where #y(0)=0# ?
• How do I solve the equation #dy/dt = 2y - 10#?
• Given the general solution to #t^2y'' - 4ty' + 4y = 0# is #y= c_1t + c_2t^4#, how do I solve the problem #t^2y'' - 4ty' + 4y = -2t^2 ,   y(1) = 2,    y'(1) =0#?
• How do I solve the differential equation #xy'-y=3xy, y_1=0#?
• How do I solve #y'' + y = -2 sin(x)# with the initial conditions #y(0) = 0# and #y'(0) = 1#?
• How do I solve the differential equation #y"-4y'-5y=0# with #y(-1)=3# and #y'(-1)=9#?
• How do you solve the initial-value problem #y'=sinx/siny# where #y(0)=π/4#?
• How do you use differentials to estimate the maximum error in calculating the surface area of the box if the dimensions of a closed rectangular box are measured as 60 centimeters, 80 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters?
• How do you solve the initial value problem of #t^2y'' - 4ty' + 4y = -2t^2# given #y(1) = 2# and #y'(1) =0#?
• How do you solve for #xy'-y=3xy# given #y(1)=0#?
• How do you find the homogeneous solution of #y''+y=-2sin(x)# for the initial condition #y(0)=0# and #y'(0)=1#?
• How do you solve #dy/dx = y^2xsqrt(1 + x^2)# where #y=1# when #x=0#?
• How do you solve #dy/dx = xy^2#?
• How do you solve for the equation #dy/dx=(3x^2)/(e^2y)# that satisfies the initial condition #f(0)=1/2#?
• How do you find the solution to the differential equation #dy/dx=cos(x)/y^2# where #y(π/2)=0#?
• How do you integrate #ydx = 2(x+y)dy#?
• How do you solve #x''(t)+x3=0#?
• How to solve the separable differential equation and to the initial condition: y(0)=1 ?
• How to solve the separable differential equation and find the particular solution satisfying the initial condition y(−4)=3 ?
• Question #2be8a
• Question #71203
• Integration by separation of variables: algebraic rearrangement?
• How to solve the seperable differential equation and when using the following initial condition: y(1)=2 ?
• Question #8b242
• How do you solve the differential #y'xln(x)=y#?
• Solve the differential equation # (dy)/(dx) + x tan(y+x) = 1# ?
• Solve the differential equation: #(d^2y)/ (dx^2) −8 (dy)/(dx) =−16y#? Discuss what kind of differential equation is this, and when it may arise?
• What is an equilibrium solution to a differential equation?
• What is a solution to the differential equation #xy' + 2y = 0#?
• What is a solution to the differential equation #y' + y + e^(x) x^(4) = 0#?
• What is a solution to the differential equation #(dy/dx) - y - e^(3x) = 0#?
• What is a solution to the differential equation #dy/dx=(x+y)/(x-y)#?
• What is a solution to the differential equation #dy/dx =( 2csc^2 x)/ (cot x)#?
• What is a solution to the differential equation #(dy/dx) +5y = 9#?
• What is a solution to the differential equation #(x^2)(e^y)dy/dx=4#?
• What is a solution to the differential equation #dy/dx = 1 - 0.2y#?
• What is a solution to the differential equation #y'' + 4y = 8sin2t#?
• What is a solution to the differential equation # xy' = y#?
• What is a solution to the differential equation #dy/dx = 20ycos(-5x)#?
• What is a solution to the differential equation #dy/dt=e^t(y-1)^2#?
• What is a solution to the differential equation #dy/dx=e^(x-y)#?
• What is a solution to the differential equation #dy/dx=xe^y#?
• What is a solution to the differential equation #dy/dx=2y-1#?
• What is a solution to the differential equation #dy/dx=1/sec^2y#?
• What is a solution to the differential equation #dy/dx=(2x)/e^(2y)#?
• What is a solution to the differential equation #dy/dx=2yx+yx^2#?
• What is a solution to the differential equation #dy/dx=2e^(x-y)# with the initial condition #y(1)=ln(2e+1)#?
• What is a solution to the differential equation #dy/dx=12x^3y# with the particular solution #y(0)=2#?
• What is a solution to the differential equation #dy/dx=xy^2# with the particular solution #y(2)=-2/5#?
• What is a solution to the differential equation #dy/dx=-x/y# with the particular solution #y(1)=-sqrt2#?
• What is a general solution to the differential equation #dy/dx=x^3/y^2#?
• What is a general solution to the differential equation #dy/dx=(2x)/(y+x^2y)^2#?
• What is a general solution to the differential equation #dy/dx=(xy+2)/(x+1)#?
• What is a general solution to the differential equation #dy/dt+3ty=sint#?
• What is a particular solution to the differential equation #dy/dx=x/y# with #y(1)=2#?
• What is a particular solution to the differential equation #dy/dx=2xy# with #y(0)=3#?
• What is a particular solution to the differential equation #dy/dx=cosxe^(y+sinx)# with #y(0)=0#?
• What is a particular solution to the differential equation #dy/dx=(4sqrtylnx)/x# with #y(e)=1#?
• What is a particular solution to the differential equation #dy/dx=-x/y# with #y(4)=3#?
• What is a particular solution to the differential equation #dy/dx=(y+5)(x+2)# with #y(0)=-1#?
• What is a particular solution to the differential equation #dy/dx=e^(x-y)# with #y(0)=2#?
• What is a general solution to the differential equation #dy/dx=xe^-y#?
• What is a general solution to the differential equation #dy/dx=10-2y#?
• What is a general solution to the differential equation #(y^2+xy^2)y'=1#?
• What is a particular solution to the differential equation #(du)/dt=(2t+sec^2t)/(2u)# and #u(0)=-5#?
• What is a particular solution to the differential equation #dy/dx=Lnx/(xy)# and y(1)=2?
• What is a particular solution to the differential equation #dy/dx=2xsqrt(1-y^2)# and y(0)=0?
• What is a general solution to the differential equation #y'=y/(x^2-1)#?
• What is a general solution to the differential equation #y^2=y^2y'=6-x^3#?
• What is a general solution to the differential equation #y'=5x^(2/3)y^4#?
• What is a general solution to the differential equation #y'=sqrtxe^(4y)#?
• What is a general solution to the differential equation #y'-3y=5#?
• What is a general solution to the differential equation #y=y+2xe^(2x)#?
• What is a general solution to the differential equation #y'+2xy=2x^3#?
• What is a general solution to the differential equation #1+y^2-y'sqrt(1-x^2)=0#?
• What is a general solution to the differential equation #xy'-2y=x^3#?
• What is a general solution to the differential equation #y'=2+2x^2+y+x^2y#?
• What is a solution to the differential equation #y'=3^-y(2x-4)# and y(5)=0?
• What is a solution to the differential equation #y'=xe^(x^2-lny^2)#?
• What is a solution to the differential equation #y'+y/x^2=2/x^3#?
• What is a solution to the differential equation #e^xdy/dx+2e^xy=1#?
• What is a solution to the differential equation #(x+1)y'-2(x^2+x)y=e^(x^2)/(x+1)# where x>-1 and y(0)=5?
• What is a solution to the differential equation #tantheta(dr)/(d(theta))+r=sin^2theta# where #0<theta<pi/2#?
• What is a solution to the differential equation #y'=-9x^2y^2#?
• What is a solution to the differential equation #y'=-2xe^y#?
• What is a solution to the differential equation #dy/dx=4-6y#?
• What is a solution to the differential equation #dy/dx=sqrt(xy)sinx#?
• What is a solution to the differential equation #dy/dx=(2y+x^2)/x#?
• What is a solution to the differential equation #dy/dx=e^(x+y)#?
• What is a solution to the differential equation #dy/dx=x+y#?
• What is a solution to the differential equation #dy/dx=1+2xy#?
• What is a solution to the differential equation #dy/dx=e^-x/y#?
• What is a solution to the differential equation #dy/dx=3x^2e^-y#?
• What is a solution to the differential equation #dy/dx=3#?
• What is a solution to the differential equation #dy/dx=(6sinx)/y#?
• What is a solution to the differential equation #dx/dt=t(x-2)#?
• What is a solution to the differential equation #dx/dt=t(x-2)# with x(0)=5?
• What is a solution to the differential equation #dy/dx=y^2/x^2+y/x+1#?
• What is a solution to the differential equation #y'=2x+1#?
• What is a solution to the differential equation #y'=1/2sin(2x)#?
• What is a solution to the differential equation #y'=-e^(3x)#?
• What is a solution to the differential equation #dy/dx=(2x)/y#?
• What is a solution to the differential equation #dy/dx=x/y#?
• What is a solution to the differential equation #dy/dx=y^2#?
• What is a solution to the differential equation #dy/dx=(x+sinx)/(3y^2)#?
• What is a solution to the differential equation #dy/dx=(x^2+2)/(4y^3)#?
• What is a solution to the differential equation #dy/dx=4y#?
• What is a solution to the differential equation #dy/dx=3y#?
• What is a solution to the differential equation #dy/dx=y#?
• What is a solution to the differential equation #dy/dx=ky#?
• What is a solution to the differential equation #dy/dx=xy#?
• What is a solution to the differential equation #dy/dx=y/x#?
• What is a solution to the differential equation #dy/dx=(3y)/(2+x)#?
• What is a solution to the differential equation #dy/dx=e^(y+2x)#?
• What is a solution to the differential equation #dy/dx=(1+x)(1+y)#?
• What is a solution to the differential equation #dy/dx=sinx/y#?
• What is a solution to the differential equation #dy/dx=e^x/y# with y(0)=1?
• What is a solution to the differential equation #dy/dx=(1+x)/(xy)# with y(1)=-4?
• What is a solution to the differential equation #dy/dx=y^2+1# with y(1)=0?
• What is a solution to the differential equation #sqrtx+sqrtydy/dx# with y(1)=4?
• What is a solution to the differential equation #xydy/dx-lnx=0# with y(1)=0?
• What is a solution to the differential equation #ydy/dx=e^x# with y(0)=4?
• What is a solution to the differential equation #x+2ysqrt(x^2+1)dy/dx# with y(0)=1?
• What is a solution to the differential equation #dy/dx=x/(y+3)#?
• What is a solution to the differential equation #dy/dx=(x+1)/x#?
• What is a solution to the differential equation #dy/dx=1/x+1#?
• What is a solution to the differential equation #dy/dx=x/(x+y)#?
• What is a solution to the differential equation #dy/dx=x-y#?
• What is a solution to the differential equation #xdy/dx=1/y#?
• What is a solution to the differential equation #dy/dx=2x#?
• What is a solution to the differential equation #dy/dx=1/x#?
• What is a solution to the differential equation #3y^2dy/dx=1#?
• What is a solution to the differential equation #(y+1)dy/dx=2x#?
• What is a solution to the differential equation #dy/dx=x^2y#?
• What is a solution to the differential equation #(1+y)dy/dx-4x=0#?
• What is a solution to the differential equation #y'-xy=0#?
• What is a solution to the differential equation #y'-y=5#?
• What is a solution to the differential equation #dy/dt=e^t/(4y)#?
• What is a solution to the differential equation #e^ydy/dt=3t^2+1#?
• What is a solution to the differential equation #dy/dy=sqrt(1-y)#?
• What is a solution to the differential equation #dy/dy=sqrt(x/y)#?
• What is a solution to the differential equation #(2+x)y'=2y#?
• What is a solution to the differential equation #y'=x/y=x/(1+y)#?
• What is a solution to the differential equation #e^x(y'+1)=1#?
• What is a solution to the differential equation #yy'=e^x=0# with y=4 when x=0?
• What is a solution to the differential equation #sqrtx+sqrtyy'=0# with y=4 when x=1?
• What is a solution to the differential equation #x(y+4)+y'=0# with y=-5 when x=0?
• What is a solution to the differential equation #dy/dx=x^2(1+y)# with y=3 when x=0?
• What is a solution to the differential equation #dP-6Pdt=0# with P=5 when t=0?
• What is a solution to the differential equation #dT+k(T-70)dt# with T=140 when t=0?
• Question #b16d4
• How do you find the general solution to #dy/dx=e^(x-y)#?
• How do you find the general solution to #dy/dx=1/sec^2y#?
• How do you find the general solution to #dy/dx=xe^y#?
• How do you find the general solution to #dy/dx=(2x)/e^(2y)#?
• How do you find the general solution to #dy/dx=2y-1#?
• How do you find the general solution to #dy/dx=2yx+yx^2#?
• How do you find the general solution to #y'=sqrtx/e^y#?
• How do you find the general solution to #(x^2+1)y'=xy#?
• How do you find the general solution to #dy/dx+e^(x+y)=0#?
• Question #51ad1
• Given #x^t * y^m - (x+y)^(m+t)=0# determine #dy/dx# ?
• Question #3f0a4
• #int_0^y e^t dt# + #int_0^x cos(t^2) dt#= 0 Then find the value of #e^y*dy/dx + cos(x^2)# ?
• Question #76309
• Question #ea738
• Question #59b3a
• #x*y = a(y+√(y²-x²))# then show that #x³*dy/dx=y²(y+√(y²-x²))# ?
• Question #a1a8c
• How do you perform inversions for #y = x^2 and y = x^4?# Is #(dx)/(dy)# from the inverse #1/((dy)/(dx))?#
• Question #96b06
• How do you find the general solution of the differential equation #dy/dt=3t^2#?
• How do you find the general solution of the differential equation #(dr)/(d theta)=pi#?
• How do you find the general solution of the differential equation #dy/dx=x^(3/2)#?
• How do you find the general solution of the differential equation #dy/dx=2x^-3#?
• How do you solve the differential equation given #f'(x)=4x#, f(0)=6?
• How do you solve the differential equation given #g'(x)=6x^2#, g(0)=-1?
• How do you solve the differential equation given #h'(x)=8x^3+5#, h(1)=-4?
• How do you solve the differential equation given #f'(s)=6s-8s^3#, f(2)=3?
• How do you solve the differential equation given #f''(x)=x^2#, f'(0)=6, f(0)=3?
• How do you solve the differential equation given #f''(x)=x^(-3/2)#, f'(4)=2, f(0)=0?
• How do you solve the differential equation given #f''(x)=sinx#, f'(0)=1, f(0)=6?
• How do you solve the differential #dy/dx=4x+(4x)/sqrt(16-x^2)#?
• How do you solve the differential #dy/dx=(10x^2)/sqrt(1+x^3)#?
• How do you solve the differential #dy/dx=(x+1)/(x^2+2x-3)^2#?
• How do you solve the differential #dy/dx=(x-4)/sqrt(x^2-8x+1)#?
• How do you use the differential equation #dy/dx=18x^2(2x^3+1)^2# to find the equation of the function given point (0,4)?
• How do you use the differential equation #dy/dx=-48/(3x+5)^3# to find the equation of the function given point (-1,3)?
• How do you use the differential equation #dy/dx=(2x)/sqrt(2x^2-1)# to find the equation of the function given point (5,4)?
• How do you use the differential equation #dy/dx=4x+(9x^2)/(3x^3+1)^(3/2)# to find the equation of the function given point (0,2)?
• What is the solution to the Differential Equation #dy/dx = sin(x+y) + cos(x+y)#?
• Question #fcd5a
• How to you find the general solution of #dy/dx=3x^3#?
• How to you find the general solution of #dy/dx=x^3-4x#?
• How to you find the general solution of #dy/dx=x/(1+x^2)#?
• How to you find the general solution of #dy/dx=e^x/(1+e^x)#?
• How to you find the general solution of #dy/dx=(x-2)/x#?
• How to you find the general solution of #dy/dx=xcosx^2#?
• How to you find the general solution of #dy/dx=sin2x#?
• How to you find the general solution of #dy/dx=tan^2x#?
• How to you find the general solution of #dy/dx=xsqrt(5-x)#?
• How to you find the general solution of #dy/dx=xe^(x^2)#?
• How to you find the general solution of #dy/dx=5e^(-x/2)#?
• How to you find the general solution of #dy/dx=x/y#?
• How to you find the general solution of #dy/dx=(x^2+2)/(3y^2)#?
• How to you find the general solution of #(dr)/(ds)=0.05r#?
• How to you find the general solution of #(dr)/(ds)=0.05s#?
• How to you find the general solution of #(2+x)y'=3y#?
• How to you find the general solution of #yy'=sinx#?
• How to you find the general solution of #yy'=6cos(pix)#?
• How to you find the general solution of #sqrt(1-4x^2)y'=x#?
• How to you find the general solution of #sqrt(x^2-9)y'=5x#?
• How to you find the general solution of #ylnx-xy'=0#?
• How to you find the general solution of #4yy'-3e^x=0#?
• How do you find the particular solution to #yy'-e^x=0# that satisfies y(0)=4?
• How do you find the particular solution to #sqrtx+sqrtyy'=0# that satisfies y(1)=4?
• How do you find the particular solution to #y(x+1)+y'=0# that satisfies y(-2)=1?
• How do you find the particular solution to #2xy'-lnx^2=0# that satisfies y(1)=2?
• How do you find the particular solution to #ysqrt(1-x^2)y'-x(1+y^2)=0# that satisfies y(0)=sqrt3?
• How do you find the particular solution to #ysqrt(1-x^2)y'-xsqrt(1-y^2)=0# that satisfies y(0)=1?
• How do you find the particular solution to #(du)/(dv)=uvsinv^2# that satisfies u(0)=1?
• How do you find the particular solution to #(dr)/(ds)=e^(r-2s)# that satisfies r(0)=0?
• How do you find the particular solution to #dP-kPdt=0# that satisfies #P(0)=P_0#?
• How do you find the particular solution to #dT+k(T-70)dt=0# that satisfies #T(0)=140#?
• How do you determine if #f(x,y)=-x^3-4xy^2+y^3# is homogeneous and what would it's degree be?
• How do you determine if #f(x,y)=-x^3+3x^2y^2-2y^2# is homogeneous and what would it's degree be?
• How do you determine if #f(x,y)=(x^2y^2)/sqrt(x^2+y^2)# is homogeneous and what would it's degree be?
• How do you determine if #f(x,y)=(xy)/sqrt(x^2+y^2)# is homogeneous and what would it's degree be?
• Question #eebbd
• Solve the differential equation #x y'-y=x/sqrt(1+x^2)# ?
• What is the first derivative of the curve described by #y = 1/2root(3)(x) + 8/x + 1#?
• Question #99fb3
• How do you find the differential #dy# of the function #y=3x^2-4#?
• How do you find the differential #dy# of the function #y=3x^(2/3)#?
• How do you find the differential #dy# of the function #y=(x+1)/(2x-1)#?
• How do you find the differential #dy# of the function #y=sqrt(9-x^2)#?
• How do you find the differential #dy# of the function #y=xsqrt(1-x^2)#?
• How do you find the differential #dy# of the function #y=sqrtx+1/sqrtx#?
• How do you find the differential #dy# of the function #y=2x-cot^2x#?
• How do you find the differential #dy# of the function #y=xsinx#?
• How do you find the differential #dy# of the function #y=1/3cos((6pix-1)/2)#?
• How do you find the differential #dy# of the function #y=sec^2x/(x^2+1)#?
• Question #ca0cb
• How do you solve #y'+3y=0# given y(0)=4?
• How do you solve #y'=(2x-3)/(y^2+y+4)# given y(1)=2?
• How do you solve #xy'+2y=4x^2# given y(1)=0?
• How do you solve #y'=-xy+sqrty# given #y(0)=0#?
• How do you solve #y'=-xy+sqrty# given y(0)=1?
• How do you solve #y=lny'# given y(2)=0?
• Solve the differential equation #y'+2y=3x+1# with initial conditions #y(1) = -1# using Euler approximation ?
• Question #a16d8
• Are the particular integral and complementary function solutions of a Differential Equation linearly independent?
• How do you determine the derivative of #xcosx#?
• If #y=ln(2x^2-6x)#, then what is #dy/dx#?
• If #y=ln(sin(pi/2))#, then what is #dy/dx#?
• If #y=arcsin(4x^2)#, then what is #dy/dx#?
• If #3-x^2=tany#, then what is #dy/dx#?
• If #y=ln(sqrt(16-x^2))#, then what is #dy/dx#?
• Question #68940
• How do you find the general solution of the differential equation: #dy/dx=(3x)/y#?
• How do you find the general solution of the differential equations #y''-4y'=2x^2#?
• How do you find all solutions of the differential equation #dy/dx=B+ky#?
• How do you find all solutions of the differential equation #(d^2y)/(dx^2)=2x+1#?
• How do you find all solutions of the differential equation #(d^2y)/(dx^2)=x^-2#?
• How do you find all solutions of the differential equation #(d^2y)/(dx^2)=0#?
• How do you find all solutions of the differential equation #(d^3y)/(dx^3)=e^x#?
• How do you find all solutions of the differential equation #(d^2y)/(dx^2)=3y#?
• How do you find all solutions of the differential equation #(d^2y)/(dx^2)=-4y#?
• What is the general solution of the differential equation #(x+y)dx-xdy = 0#?
• What is the general solution of the differential equation? # (3x^2+2y)dx+2xdy=0 #
• Is there a systematic way to determine an integrating factor #mu(x,y)# of the form #x^n y^m#, given a not-necessarily-exact differential equation?
• Show that #y=2/3e^x+e^(-2x)# is a solution of the differential equation #y'+2y=2e^x#?
• For the nonhomogeneous equation, using the method of undetermined coefficients, the solution I got for #(d^2y)/(dx^2) - 5(dy)/(dx) + 6y = xe^x# is #y = (xe^x)/2 + (3e^x)/4#, but along the way I got two solutions for #A_1#?
• Question #da059
• Question #78e39
• What is the value of #F'(x)# if #F(x) = int_0^sinxsqrt(t)dt# ?
• Question #d88e8
• What is the integrating factor for #0 = (3x^2 + 3y^2)dx + x(x^2 + 3y + 6y)dy#?
• Question #5b598
• Question #56929
• Question #d6ef5
• What is the function #y# if #\frac { d y } { d x } = \frac { 3x ^ { 2} + 4x + 2} { 2( y - 1) }# and #y ( 0) = - 1#?
• Question #3d111
• What is the General Solution of the Differential Equation #y''-6y'+10y = 0#?
• Question #2ef29
• What is the general solution of the differential equation # dy/dx +y = y^2(cosx-sinx) #?
• Can someone help clarify this question?
• Solve the differential equation #dy/dx = 5x sqrt(y)# where y!=0?
• Solve the differential equation #dy/dt = 4 sqrt(yt)# y(1)=6?
• Question #1b4c7
• Can someone explain this question?
• Can u guys helpe please? Ive been trying to solve two questions and i simply have no luck. They are: Inverse laplace of #s/(s^4+4a^4)# And Inverse laplace of #s/(s^4+s^2+1)# If you guys could gelp me I wpuld be grateful
• What is the general solution of the differential equation # dy/dx - 2y + a = 0 #?
• Solve the Differential Equation #y'' - 4 y' + 4y = 2 e^(2x)#?
• Solve the differential equation #xyy' +xyy'= y^2 +1#?
• What is the general solution of the differential equation ? # 2xdy/dx = 10x^3y^5+y #
• Question #20d0b
• Question #020d3
• Question #866a2
• Question #3829a
• Solve #dy/dx=xye^(3x)# ?
• Question #74c42
• Solve the differential equation #y dy/dx-y^2+9x=0# ?
• Question #a071a
• #(dv)/(dt) + lambda v =e^(-alpha/3t)# ?
• Question #fd5f0
• Question #9651f
• A metal rod is 60 cm long and is heated at one end. The temperature at a point on the rod at distance x cm from the heated end is denoted by T. At a point halfway along the rod, #T=290# and #(dT)/dx = -6#?
• Question #64888
• What is the general solution of the differential equation # xyy'=x^2+1 # ?
• Question #5a53b
• Question #84622
• What is the general solution of the differential equation #2dy = 3xy \ dx#?
• Question #332a8
• Question #10b00
• Question #37707
• Question #125ce
• Question #c6898
• Question #4a5e2
• How could I compare a SYSTEM of linear second-order partial differential equations with two different functions within them to the heat equation? Please also provide a reference that I can cite in my paper.
• What is the general solution of the differential equation? # (x+1)y'+y= tan^-1(x) / (x+1) #
• What is the particular solution of the differential equation # dy/dt = -10t+1 # with Initial Condition #y(0)=-5#?
• Question #19983
• What is the general solution of the differential equation? : # (d^2y)/dx^2-dy/dx-2y=4x^2 #
• Solve the differential equation # dy/dx + y = 0# ?
• What is the general solution of the differential equation #(y^2-1)xdx + (x+2)ydy = 0#?
• What is the particular solution of the differential equation # y' + y tanx = sin(2x) # where #y(0)=1#?
• What is the solution of the Differential Equation # x(dy/dx)+3y+2x^2=x^3+4x #?
• What is the general solution of the differential equation # x^2y'' -xy'-3y=0 #?
• What is the general solution of the differential equation? : # 2y'' + 3y' -y =0#
• What is the general solution of the differential equation? # dy/dx=y(1+e^x) #
• What is the general solution of the differential equation? : # dy/dx=9x^2y #
• What is the solution of the Differential Equation #dy/dx=(x-3)y^2/x^3#?
• What is the solution to the Differential Equation #4/y^3 dy/dx=1/x#?
• What is a second solution to the Differential Equation # x^2y'' -3xy'+5y=0 #?
• Solve the Differential Equation # x^2y'' -3x+5y=0 #?
• What is the general solution of the differential equation # y'' +4y =0#?
• What is the general solution of the differential equation #y''' - y'' = e^xcosx #?
• What is the general solution of the differential equation # y'' - 10y' +25 = 0#?
• What is the general solution of the differential equation? : # x^2(d^2y)/(dx^2)+xdy/dx+n^2y=0 #
• What is the general solution of the differential equation # y''' + 4y'' = 0 #?
• What is the solution to the Initial Value Problem (IVP) #y''=2e^(-x) # with the IVs #y(0)=1,y'(0)=0#?
• Solve the Differential Equation # x^2y'' -xy'-8y=0 #?
• Solve the Differential Equation # x^2y'' +11xy'+25y=0 #?
• What is the general solution of the differential equation? # x^2y'' +3xy'+17y=0 #
• What is the particular solution of the differential equation? : # dx/(x^2+x) + dy/(y^2+y) = 0 # with #y(2)=1#
• What is the general solution of the differential equation? : # (x - 4) y^4 dx - x^3 (y^2 - 3) dy =0 #
• What is the general solution of the differential equation # (x^2+y^2)dx+(x^2-xy)dy = 0 #?
• What is the general solution of the differential equation # 2(y-4x^2)dx+xdy = 0 #?
• What is the general solution of the differential equation # y''' - 3y'-2y =0 #?
• Solve the differential equation # (D^2+2D+5)y=xe^x # ?
• Solve the differential equation # (2y-x)dy/dx=2x+y# where #y=3# when #x=2#?
• What is the general solution of the differential equation # dy/dx + y = xy^3 #?
• What is the general solution of the differential equation? : # (x^3 + y^3)=3xy^2 dy/dx #
• What is the general solution of the differential equation # (d^2y)/(dx^2) + 3dy/dx + 2y = 2sinx#?
• What is the solution to the Differential Equation #(d^2y)/(dx^2) - 6dy/dx = 54x + 18#?
• What is the general solution of the differential equation # dy/dx + 2y = 0#?
• What is the general solution of the differential equation? : # dy/dx + 3y = 3x^2e^(-3x) #
• What is the general solution of the differential equation # y'' + y = cot(x) #?
• What is the general solution of the differential equation? : # Acosx + Bsinx -sinxln|cscx+cotx| #
• If #F(x)# and #G(x)# both solve the same initial value problem, then is it true that #F(x) = G(x)#?
• Question #496b1
• If # y=ce^(2x)+De^(-2x) # then show that # y'' -4y = 0 #?
• What is the general solution of the differential equation? : # dy/dx + (2x)/(x^2+1)y=1/(x^2+1) #
• Show that # xsin2x # is a solution to the DE # y'' + 4y = 4cos2x #?
• What is the general solution of the differential equation? : # (d^2y)/(dx^2)- y = 1/(1+e^x) #
• Solve # (1+x^2)^2y'' + 2x(1+x^2)y'+4y = 0 #?
• What is the general solution of the differential equation ? # (6xy - 3y^2+2y) dx + 2(x-y)dy = 0 #
• Solve the differential equation #x^2(d^2y)/(dx^2) + x dy/dx + y = x^m #?
• What is the general solution of the differential equation? : # (d^2y)/(dx^2) + dy/dx - 2y = -6sin2x-18cos2x#
• What is the particular solution of the differential equation? : #y'+4xy=e^(-2x^2)# with #y(0)=-4.3#
• What is the general solution of the differential equation? : #y'(coshy)^2=(siny)^2#
• What is the general solution of the differential equation # dy/dx + y^2=4#?
• What is the particular solution of the differential equation? : # dy/dx + 1/x = e^y/x # with #y(1)=ln2#
• What is the solution of the differential equation? : #ydy/dx = (9-4y^2)^(1/2)# where #x=0# when #y=0#
• What is the solution to the Differential Equation #e^(x+y)(dy/dx) = x# with #y(0)=1?
• What is the general solution of the differential equation? : #(ylny)dx-xdy=0 #
• What is the general solution of the differential equation # y''''-3y'''+3y''-y' = 0 #?
• What is the general solution of the differential equation # xdy/dx = y+sinx #?
• What is the general solution of the differential equation #(1+x^2)dy/dx + xy = x #?
• What is the general solution of the differential equation # dy/dx- 2xy = x #?
• What is the general solution of the differential equation # dy/dx = (x+y)/x #?
• Solve the differential equation #2xlnx dy/dx + y = 0#?
• Solve the Differential Equation #dy/dx +3y = 0# with #x=0# when #y=1#?
• What is the general solution of the differential equation # (y^2+1)dy/dx+2xy^2=2x #?
• Show that # y^2 = (4x)(a-x) = 4ax-4x^2 # is a solution to the DE? # 2xy dy/dx = y^2 - 4x^2#
• What is the general solution of the differential equation # dy/dx + y = xy^3 #?
• What is the general solution of the differential equation? : # xy dy/dx = x^2 - y^2 #
• What is the general solution of the differential equation # dy/dx=(y^3 - yx^2) / (x^3 + y^2x) #?
• Solve # dy/dx=(y+2x)^2+2 #?
• What is the general solution of the differential equation # dy/dx=(y+2x)^2+2 #?
• What is the general solution of the differential equation #y' - (2xy)/(x^2+1) = 1#?
• What is the particular solution of the differential equation # 2yy' = e^(x-y^2) # with #y=-2# when #x=4#?
• What is the general solution of the differential equation? # cosy(ln(secx+tanx))dx=cosx(ln(secy+tany))dy #
• Find the solution of the differential equation # x(1+y^2)dx-y(1+x^2)dy =0#?
• What is the general solution of the differential equation # dy/dx +3y = e^(4x) #?
• What is the general solution of the differential equation # dy/dx = 8sin2x #?
• What is the general solution of the differential equation #dy/dx=6e^x#?
• What is the general solution of the differential equation ? #e^(x^3) (3x^2 y- x^2) dx + e^(x^3) dy =0 #
• What is the general solution of the differential equation? # y^2 \ dx + xy \ dy = 0 #
• Solve the Differential Equation # dy/dx = 2xy - x #?
• Find the differential equation # (1+y^2)(1+lnx)dx+xdy=0# with #y(1)=1#?
• What is the general solution of the differential equation ? # sec^2y dy/dx+tany=x^3 #
• What is the general solution of the differential equation # x^2 (d^2y)/(dx^2) - 3x dy/dx+y=sin(logx)/x #?
• What is the general solution of the differential equation #xy'' = y'+x(y')^2#?
• The differential equation below models the temperature of a 95°C cup of coffee in a 21°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 71°C. How to solve the differential equation?
• What is the general solution of the differential equation # e^(dy/dx) = x #?
• What is the general solution of the differential equation ? # xdy=(y^2-3y+2) dx #
• If the velocity of an object is given by # v(t) = 3t^2 - 22t + 24 # and #s(0)=0# then how do you find the displacement at time #t#?
• Solve the Differential Equation # (1+x^2)y'+4xy=(1+x^2)^-2 #?
• What is the general solution of the differential equation ? #xdy/dx=2/x+2-y# given that #x=-1,y=0#
• What is the general solution of the differential equation ? # dy/dx=y+c#
• If #x^2 y=a cos⁡#x, where #a# is a constant, show that #x^2 (d^2 y)/(dx^2 )+4x dy/d +(x^2+2)y=0 #?
• What is the general solution of the differential equation #(x^2 + y^2) \ dx - xy \ dy = 0#?
• Solve #dy/dx = 1+ 1/y^2# ?
• What is the solution of the differential equation # dy/dx = 2y(5-3y) # with #y(0)=2#?
• What is the general solution of the differential equation? # (4x+3y+15)dx + (2x + y +7)dy = 0 #
• What is the general solution of the differential equation # y'=y/x+xe^x #?
• Use the method of "undetermined coefficients" to solve the 2nd ODE #y''-2y'=12e^(2x)-8e^(-2x)#?
• Use the method of "undetermined coefficients" to solve the 2nd ODE #y''+4y'+4y=e^(-2x)sin2x# ?
• What is the general solution of the differential equation? # z'''-5z''+25z'-125z=1000 #
• What is the general solution of the differential equation # (1+x)dy/dx-y=1+x #?
• Non-exact 1st Order Differential Equation? Kindly solve this Non-exact 1st Order Differential Equation by integrating Factor Method. #(x+2)sinydx+x cosydy=0#
• What is the general solution of the differential equation # y'-2xy=x^3 #?
• Question #b0376
• Given that #v=(sin u)^(1/2)#, Show that #4v^3 (d^2v)/(du^2)+v^4+1=0#?
• What is the general solution of the differential equation # y'''-y''+44y'-4=0 #?
• What is the particular solution of the differential equation # dy/dx = xy^(1/2) # with #y(0)=0#?
• How do I solve this differential equation? # (x^2 + y^2) dx + xydy = 0#
• What is the solution of the differential equation? : # y'-2xy = 1 \ \ # with # \ \ y(0)=y_0#
• What is the general solution of the differential equation? : # dy/dx = 1/x^2 #
• What is the general solution of the differential equation? : # y' = x(1+y^2) #
• Question #3e972
• What is the general solution of the differential equation? : # dy/dx = x+2y #
• How can I solve this differential equation? : # xy \ dx-(x^2+1) \ dy = 0 #
• How can I solve this differential equation? : #(2x^3-y)dx+xdy=0#
• How can I solve this differential equation? : #xy^2dy/dx=y^3-x^3#
• How can i solve this differencial equation? : #y'+x^2 y=x^2#
• What is the general solution of the differential equation #dy/dx=y+x-1 #?
• How do you solve this differential equation #dy/dx=(-x)/y# when #y=3# and #x=4# ?
• How to find the general solution of differential equation #(3y)(x)dy/dx = e^x# when #x=2# and #y= 1# ?
• What is the general solution of the differential equation #dy/dx = (x+2y-3)/(2x+y-3)#?
• How can I solve the differential equation #y'= sinx - xsinx# ?
• What is the general solution of the differential equation #y-xy'=3-2x^2y'#?
• What is the general solution of the differential equation #y'-1/xy=2x^2\lnx#?
• #xy'-3y=x-1#? Solve DE
• If a particular integral of the differential equation #(D^2+2D-1)y=e^(ax)# is #(-4/7)e^(ax)# then the value of a is ?
• What is a solution to the linear differential equation: #dy/dx= y/x+x#?
• When a transistor radio is switched off, the current falls away according to the differential equation #(dI)/dt=-kI# where #k# Is a constant . If the current drops to 10% in the first second ,how long will it take to drop to 0.1% of its original value?
• Find the solution of the differential equation that satisfies the given initial conditions?
• Find the solution of the differential equation #xy'=y+x^2\sinx# that satisfies the given initial conditions below?
• #e^x (y'+1)=1# ? using Separation of Variables
• # y' = x/y - x/(1+y) # ? by using separation of variable
• Solve: #d^2x//dt^2 + g sin theta t =0# if # theta=g//l# , and g and l are constants?
• Show that #y_1=x^2# is a solution to the differential equation #x^2y'' -(x^2+4x)y' +(2x+6)y=0 #?
• What is the general solution of the differential equation? : #(d^4y)/(dx^4) - 4 y = 0#
• What is a solution to the differential equation? : #dy/dx + (1-2x)/x^2*y = 1# when #y|_(x=1)=0#
• If #y= sinx/ x^2#, find #dy/dx# and #(d^2y)/(dx^2)#. Then prove that #x^2 (d^2y)/(dx^2) + 4x dy/dx + (x^2 + 2) y = 0# ?
• What is the solution of the Homogeneous Differential Equation? : #dy/dx = (x^2+y^2-xy)/x^2# with #y(1)=0#
• #y'' + 9y = 2x^2 - 5#, How about solution. (#y_h#=?, #y_p=#?)
• What is the general solution of the differential equation? : #y''+4y=2sin2x#
• Separable Differential Equation with Initial Value?