MCQ_SINGLE

The integrating factor of the differential equation \((x + 2y^3)\dfrac{dy}{dx} = 2y\) is

MCQ_SINGLE

The sum of the order and the degree of the differential equation \frac{d^{2}y}{dx^{2}}+(\frac{dy}{dx})^{3}=sin\~y is:

SA

Find the particular solution of the differential equation given by $x^{2}\frac{dy}{dx}-xy=x^{2}cos^{2}(\frac{y}{2x})$ given that when $x=1$, $y=\frac{\pi}{2}$

SA

Find the particular solution of the differential equation $\left[x\sin^{2}\left(\frac{y}{x}\right)-y\right]dx+x~dy=0$ given that $y=\frac{\pi}{4}$ when $x=1$.

SA

Solve the differential equation $2(y+3)-xy\frac{dy}{dx}=0;$ given $y(1)=-2$.

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