An ordinary differential equation is given below. $\left(\frac{d y}{d x}\right)(x \ln x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options)
(A) $y=K x \ln x$
(B) $y=K x e^{x}$
(C) $y=K x e^{-x}$
(D) $y=K \ln x$
An ordinary differential equation is given below. $\left(\frac{d y}{d x}\right)(x \ln x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options)
(A) $y=K x \ln x$
(B) $y=K x e^{x}$
(C) $y=K x e^{-x}$
(D) $y=K \ln x$