A. The general solution of the differential equations $\frac{d y}{d x}=\frac{1+y^2}{1+x^2}$ is $\tan ^{-1} y=\tan ^{-1} x+c$; Where c is a constant

B. The general solution of the differential equation $\frac{d y}{d x}+\sqrt{\frac{1-y^2}{1-x^2}}=0$ is $\sin ^{-1} y-\sin ^{-1} x=c$; Where c is a constant

C. The general solution of the differential equation $\frac{y d x-x d y}{y}=0$ is y = cx; Where c is a constant

D. The general solution of the differential equation $\frac{d y}{d x}=e^{x+y}$ is $e^x+e^y=c$; Where c is a constant

E. The differential equation $\left(x^2+x y\right) d y=\left(x^2+y^2\right) d x$ is homogeneous differential equation.

Choose the correct answer from the options given below:

A, C, E only

The correct answer is Option (2) - A, C, E only