What is the general solution of $\frac{dy}{dx} + \frac{y}{x} = x^{2}$?

Explanation

1. 01

   The factor is $x$: $\frac{d}{dx}(xy) = x^{3}$.

2. 02

   $xy = \frac{x^{4}}{4} + C$, so $y = \frac{x^{3}}{4} + \frac{C}{x}$.