Hi

I have the following value problem :

du/dx = xu

So i rearranged this to become:

du/dx * 1* 1/u = x

I there for concluded:

g(x) = 1 and h(x) = x

I then did this calculation:

The book's solutions how ever gives a different answer since it chose different values for g(x) and h(x). I am wondering if mine is still valid or have i done it wrong? Does u have to be u^1 and nothing else for this to work ?

This is the books solution: