# What is a general solution to the differential equation #dy/dx=x^3/y^2#?

##### 1 Answer

Sep 16, 2016

#### Explanation:

Treat

#dy/dx=x^3/y^2" "=>" "y^2dy=x^3dx#

Integrate both sides:

#=>" "inty^2dy=intx^3dx#

Using the typical integration power rule:

#=>" "y^3/3=x^4/4+C#

Solving for

#=>" "y^3=(3x^4)/4+C#

#=>" "y=root3((3x^4)/4+C)#