Thread: Integration with unusual substitution.

Can anyone help me solve this question? with working would be nice. *this is not homework.

-) substituting

thank you.

the working is quite simple so i will just give you the steps to work through.

1) workout what dy/dx is in terms of the new variable.
2)substitute y and dy/dx for the new variables.
3) seperation of variables to allow integration
4) you might need partial fraction expansion here to allow for integration or you can use some other method.
5) replace u wherever it appears with y/x.

i get a final answer of(x+y)/(x-y) = Ax where A is some constant