Match List – I with List – II. LIST I LIST II  A. $\frac{d y}{d x}=e^{x-y}+x^2 e^{-y}$  I. Linear Differential Equation of type $\frac{d y}{d x}+P y=Q$  B. $\frac{d y}{d x}-2 y=\cos 3 x$  II. Homogeneous Differential Equation  C. $x^2 \frac{d y}{d x}=x^2-2 y^2+x y$  III. Linear Differential Equation of type $\frac{d y}{d x}+P x=Q$  D. $\left(x+2 y^3\right) \frac{d y}{d x}=y$  IV. Variable separable Choose the correct answer from the options given below:

A-II, B-III, C-IV, D-I A-IV, B-III, C-II, D-I A-IV, B-I, C-II, D-III A-III, B-I, C-IV, D-II

A-IV, B-I, C-II, D-III

The correct answer is Option (3) - A-IV, B-I, C-II, D-III