List of top Mathematics Questions on Solution of Differential Equations asked in CUET (UG)

Determine the exact expression for the Integrating Factor (I.F.) of the following first-order linear differential equation: \( \frac{dy}{dx} - y\tan x = e^x \)

Find the solution of the differential equation: \[ \frac{dy}{dx} = 3x^2 \]

Find the general solution of the separable differential equation: \[ \frac{dy}{dx} = e^{x-y} + x^2e^{-y} \]

Find the general solution of the differential equation: \( \frac{dy}{dx} + \frac{y}{x} = x^2 \)

The general solution of the differential equation ydx + xdy = 0 is:

The general solution of differential equation \(\frac{dy}{dx} - xy = e^{\frac{x^2}{2}}\)

The number of solutions of the equation \(xydx— (x2-y2)dy=0\) with \( y(2)=3\) is :

The solution of the differential equation \(\frac{dy}{dx}=-\frac{x}{y}\) is:

The solution of the differential equation cosx siny dx + sinx cosy dy = 0 is:

The solution of the differential equation\(\frac{dy}{dx}= \frac{6}{x^2}; y(1) = 3\) is:

Solution of a differential equation  \((1+ y2)dx=(\tan^{-1}y - x)dy\) is :