List of top Mathematics Questions on Differential Equations asked in Guru Gobind Singh Indraprastha University Common Entrance Test

Choose the most appropriate options.
The degree of the differential equation $x = 1 + \frac{dy}{dx} + \frac{1}{2!} \left( \frac{d^2y}{dx^2} \right) + \frac{1}{3!} \left( \frac{d^3y}{dx^3} \right) + ...$

The solution of the differential equation

\frac{d^2y}{dx^2} + 3y = -2x

is

The solution of the differential equation

(x^2 - yx^2) \frac{dy}{dx} + y^2 + xy^2 = 0

is

If

y^{\frac{1}{m}} + x^{\frac{1}{m}} = 2x

then