MCQ_SINGLE

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

MCQ_SINGLE

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

LA

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

LA

Solve the differential equation $y~e^{y}dx = (y^{3} + 2x~e^{y}) dy$, when $y(0)=1$.

MCQ_SINGLE

The order and degree of the differential equation $1+(\frac{d^{3}y}{dx^{3}})^{3}=\lambda\frac{d^{2}y}{dx^{2}}$ is:

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