List of top Mathematics Questions on Differential Equations asked in AP ECET CSE, AP ECET CE

The particular integral of \(\frac{d^2y}{dx^2} + 3\frac{dy}{dx} + 2y = e^{-2x}\) is

The solution of the differential equation \(\frac{d^3y}{dx^3} + 3\frac{d^2y}{dx^2} + 2\frac{dy}{dx} = 0\) is

The solution of the differential equation \(\frac{dy}{dx} + \frac{y}{x} = x^2\) under the condition that y(1) = 1 is

The solution of the differential equation \(\frac{dy}{dx} = 1 + y^2\) is

The differential equation \(\frac{dy}{dx} = -\left(\frac{x+y}{1+x^2}\right)\) is

The order of the differential equation whose general solution is \(y = a \sin x + b \cos x\) is (where a and b are arbitrary constants)

The degree of the differential equation \(y' + y = \frac{5}{y'}\) is