MCQ_SINGLE

The solution for the differential equation \(\log(\frac{dy}{dx})=3x+4y\) is:

SA

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

SA

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

LA

Solve the differential equation $(1+x^{2})\frac{dy}{dx}+2xy-4x^{2}=0$ subject to initial condition $y(0)=0$.

SA

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

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