MCQ_SINGLE

The general solution for the differential equation $\frac{dy}{dx}=e^{3x-y}$ is:

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 following differential equation: $x\frac{dy}{dx}=y-x\sin^{2}(\frac{y}{x})$ given that $y(1)=\frac{\pi}{6}$

SA

Find the general solution of the differential equation: $y\log y\frac{dx}{dy}+x=\frac{2}{y}$

MCQ_SINGLE

11. The order and degree (if defined) of the differential equation, $(\frac{d^{2}y}{dx^{2}})^{2}+(\frac{dy}{dx})^{2}=x\sin(\frac{dy}{dx})$ respectively are :

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