List of top Mathematics Questions on Order and Degree of a Differential Equation asked in CBSE Class XII

The order and degree of the differential equation \[ y=\left(\frac{d^2y}{dx^2}\right)^2-\lambda\frac{dy}{dx} \] is:

Product of the order and degree of differential equation \(1 + \left(\frac{dy}{dx}\right)^3 = \lambda \left(\frac{d^3y}{dx^3}\right)^2\) is :

The order and degree of the differential equation : \( \frac{d}{dx}(y')^3 + (y')^3 = 1 \) respectively are where \( y' = \frac{dy}{dx} \)

The sum of the order and the degree of the differential equation \(\left[\frac{d^2y}{dx^2}\right]^2 + \left[\frac{dy}{dx}\right]^4 + 3\left(\frac{dy}{dx}\right) + 1 - y^2 = 0\) is: