Which of the following statements are true ?

A. Degree of the differential equation $\frac{d^2y}{dx^2}+y =1$ is 2.

B. Number of arbitrary constants in the particular solution the differential equation of order 4 are 4.

C. $y^2=a(b^2-x^2)$ will be the general solution of a differential equation of order 2; where a and b are two arbitrary constants.

D. $f(x, y) =\frac{2x-y}{x+3y }$ is a homogeneous function of degree 1.

E. Integrating factor of $x\frac{dy}{dx}-y=2x^2$ is $\frac{1}{x}$.

Choose the correct answer from the options given below :

C and E only

The correct answer is Option (2) → C and E only

(A) false degree can't be found as still 1 constant is remaining in eq.

(B) false, no arbitrary constant exists in particular solution 

(C) True

(D) false, it is homogeneous function of degree 0.

(E) $I. F.=e^{∫-\frac{1}{x}dx}=\frac{1}{x}$ (true)