The degree of the differential equation $\left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{2}=\frac{d^{2}y}{dx^{2}}$ is

The order and degree of the differential equation $3 - (\frac{d^3 y}{d x^3})^{\frac{7}{3}} = (\frac{dy}{d x})^5$ are respectively:

The number of arbitrary constants in the particular solution of a differential equation of third order are . . . . . . .

The order and degree of the differential equation $ y = x \frac{dy}{dx} + \frac{2}{dy/dx} $ are

The degree of the differential equation $1+\left(\frac{dy}{dx}\right)^2+\left(\frac{d^2y}{dx^2}\right)^2=\sqrt[3]{\frac{d^2y}{dx^2}+1}$ is

The difference of the order and degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^{-\frac{7}{2}}\left(\frac{d^3 y}{d x^3}\right)^2-\left(\frac{d^2 y}{d x^2}\right)^{-\frac{5}{2}}\left(\frac{d^4 y}{d x^4}\right)=0$ is