Question

de

Answer 1

First divide the ode by x, assume \(x \ne 0\)

Answer 2

then we get \[y'' - 2 (y')^2 + y'/x = 0\], now call \(y' = u\), then \[u' - 2u^2 + u/x = 0\]

Answer 3

now you have a first order diff equation

Answer 4

that is a Riccati equation, check here: http://en.wikipedia.org/wiki/Riccati_equation

Answer 5

oh so i just have to integrate the equation to get the answer.. Thank you so much =)