# 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 #