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)

1. $y=K x \text{ ln } x$
2. $y=K x e^x$
3. $y=K x e^{-x}$
4. $y=K \text{ ln } x$

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