Find the degree of the differential equation $y_3^{2/3} + 2 + 3y_2 + y_1 = 0$.

Find the order and degree,if defined,of the following differential equation:
$\frac{dy}{dx} - \cos x = 0$

The number of arbitrary constants in a particular solution of a differential equation is . . . . . . .

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

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

The order of the differential equation,whose general solution is given by $y = (c_1 + c_2) \cos (x + c_3) - c_4 e^{x + c_5}$,where $c_1, c_2, c_3, c_4$ and $c_5$ are arbitrary constants,is