Correct substitution for the solution of the differential equation of the type $\frac{d y}{d x}=g(x, y)$, where $g(x, y)$ is a homogeneous function of the degree zero is $x=v y$.

Number of arbitrary constants in the particular solution of $a$ differential equation of order two is two.

The differential equation representing the family of circles $x^2+(y-a)^2=a^2$ will be of order two.

The solution of $\frac{d y}{d x}=\left(\frac{y}{x}\right)^{1 / 3}$ is $y^{2 / 3}-x^{2 / 3}=c$

Differential equation representing the family of curves $y=e^x(A \cos x+B \sin x)$ is $\frac{d^2 y}{d x^2}-2 \frac{d y}{d x}+2 y=0$