An ordinary differential equation is given below;

$\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$

The solution for the above equation is

(Note: $K$ denotes a constant in the options)

- $y=K x \text{ ln } x$
- $y=K x e^x$
- $y=K x e^{-x}$
- $y=K \text{ ln } x$