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

The order and the degree of the differential equation $\left[1+\left(\frac{dy}{dx}\right)^{3}\right]^{\frac{7}{3}}=7\left(\frac{d^{2}y}{dx^{2}}\right)$ are respectively

The differential equation representing the family of curves ${y^2} = 2c(x + \sqrt{c}),$ where $c$ is a positive parameter,is of

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

The order and the degree of the differential equation $\left( \frac{d^2s}{dt^2} \right)^2 + 3\left( \frac{ds}{dt} \right)^3 + 4 = 0$ are

The sum of the degree and order of the differential equation $(1+y_1^2)^{2/3} = y_2$ is