List of top Mathematics Questions on Order and Degree of Differential Equation asked in COMEDK UGET

The degree of the differential equation \( \int \frac{x}{(x-1)(x-2)^2} dx = a \log \left| \frac{x-1}{x-2} \right| + \frac{b}{x-2} + c \) is:

The degree of the differential equation \[ \left( 1 + \left( \frac{dy}{dx} \right)^2 \right)^{\frac{3}{4}} = \left( \frac{d^2y}{dx^2} \right)^{\frac{1}{3}} \]

The order of the differential equation \( \frac{d}{dz}\left[\left(\frac{dy}{dz}\right)^3\right]=0 \) is