Divide both sides by yy' and integrate.
I'm trying to solve the ODE
I'm "close" to the answer provided, but I can't see where I'm going wrong. This is what I've done:
let , so
Then the ODE becomes , which is separable and gives me
Now integrating wrt x to recover y,
However... the answer provided is , and I don't think manipulating what I have will get me here
So what have I done wrong?