SA

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

MCQ_SINGLE

The solution of the differential equation $\frac{dx}{x}+\frac{dy}{y}=0$ is:

SA

Find the particular solution of the differential equation $(xe^{\frac{y}{x}}+y)dx=x~dy$, given that $y=1$ when $x=1$

MCQ_SINGLE

The integrating factor of the differential equation \((1-x^{2})\frac{dy}{dx}+xy=ax,\) \(-1 \lt x\lt 1\) is:

SA

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

View All Questions