Some weeks ago I was asked to solve one ODE. I tried all methods I know, but couldn't crack this equation. Also I tried to use Matlab's dsolve function - without any result.

$y' + \frac{2x}{y} = x^2$

Does anyone have any suggestions on this?

P.S. This is not for homework or anything like this, just want to know if this equation has an analytical solution.

Some weeks ago I was asked to solve one ODE. I tried all methods I know, but couldn't crack this equation. Also I tried to use Matlab's dsolve function - without any result.

$y' + \frac{2x}{y} = x^2$

Does anyone have any suggestions on this?

P.S. This is not for homework or anything like this, just want to know if this equation is integrable?