How to you find the general solution of #dy/dx=xsqrt(5-x)#?
1 Answer
Nov 16, 2016
# y = 2/5(5-x)^(5/2) - 10/3(5-x)^(3/2) + C # , Provided#x<=5 #
Explanation:
We have
# int dy = int xsqrt(5-x)dx #
And so
For the RHS integral, Let
And,
So
So the DE solution is;
# y = 2/5(5-x)^(5/2) - 10/3(5-x)^(3/2) + C #