Hi everyone,

I need help trying to solve the following:

$\displaystyle xyy'' = yy' + x(y')^2$

Mathematica says the solution is $\displaystyle y(x) = c_1e^{x^2}$ but I have no idea how to get there.

I just noticed that the RHS can be written as (xyy')' but made no progress from there.

Any help is appreciated. Thanks!