Match List I with List II

List I	List II : Order and degree respectively
A. $\frac{dy}{dx} - (x^2+3) = 0$	I. 2 and 1
B. $2x^2 \frac{d^2y}{dx^2} - 3\frac{dy}{dx} + y = 0$	II. 2 and 3
C. $y''' + y^2 + e^{y'} = 0$	III. 1 and 1
D. $\left(\frac{ds}{dt}\right)^4 + 3s\left(\frac{d^2s}{dt^2}\right)^3 = 0$	IV. 3 and not defined

Choose the correct answer from the options given below:

The general solution of the given differential equation $\frac{dy}{dx} = \frac{3e^{2x}+3e^{4x}}{e^{x}+e^{-x}}$ (where C is an arbitrary constant)

The solution of the differentiable equation $2x\frac{dy}{dx} + y = 14x^3, x > 0$, is

Match List-I with List-II

Choose the correct answer from the options given below:

If the order and degree of the differential equation $y + \dfrac{dy}{dx} = \int y\,dx$ are m and n respectively, then (m - n) is equal to

General solution of the differential equation $(e^x + e^{-x})dy = (3e^{2x} + 3e^{4x})dx$ is:

[Where C is an arbitrary constant]

The particular solution of the differential equation $\left[x \sin^2\left(\frac{y}{x}\right) - y\right]dx + xdy = 0$, $y = \frac{\pi}{4}$ when $x = 1$ is