Match the Integrating factor of the following Differential equations. LIST I LIST II  A. $\frac{d y}{d x}-y=\cos x$   I. $e^x$   B. $\frac{d y}{d x}=\cos x-y$   II. $x^2$   C. $x \frac{d y}{d x}+2 y=x^2$   III. $\frac{1}{x^2}$   D. $\frac{d y}{d x}=x+\frac{2}{x} y$   IV. $e^{-x}$  Choose the correct answer from the options given below:

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

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

The correct answer is Option (1) → A-IV, B-I, C-II, D-III