SA

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

MCQ_SINGLE

The integrating factor for solving the differential equation $x\frac{dy}{dx}-y=2x^{2}$ is:

SA

Solve the following differential equation : $xe^{\frac{y}{x}}-y+x\frac{dy}{dx}=0$

SA

Solve the following differential equation: $(1+x^{2})\frac{dy}{dx}+2xy=4x^{2}$.

MCQ_SINGLE

Let \(f^{\prime}(x)=3(x^{2}+2x)-\frac{4}{x^{3}}+5,\) and \(f(1)=0\). Then, \(f(x)\) is:

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