The order and degree of the differential equation $\frac{d^2 y}{d x^2}+y+\left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2}=0$ are respectively:

If $\alpha$ and $\beta$ are respectively the order and degree of the differential equation $y=e^{\left(\frac{dy}{dx}+\frac{d^2y}{dx^2}\right)}$,then the value of $\alpha+\alpha^\beta+\alpha^{2\beta}+\ldots+\alpha^{2023\beta}$ is:

For the differential equation $\frac{d^3 y}{d x^3}=0$,$y=a x^2+b x+c$ is

Find the order and degree,if defined,of the following differential equation: $y^{\prime \prime \prime} + y^2 + e^{y^{\prime}} = 0$

If $m$ and $n$ are the degree and order of the differential equation $\left(1+y_{1}^{2}\right)^{2 / 3}=y_{2}$,then the value of $\frac{m+n}{m-n}$ is

The order and degree of the differential equation $y=px+\sqrt{a^{2}p^{2}+b^{2}}$,where $p=\frac{dy}{dx}$,are respectively: