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) $y=K \ln x$

127