Categories > diff-equation > Homogeneous differential equations > Solution of differential equation $2xy\frac{dy}{dx}={{x}^{2}}+3{{y}^{2}}$ is (where p is a constant)

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Question: Solution of differential equation $2xy\frac{dy}{dx}={{x}^{2}}+3{{y}^{2}}$ is (where p is a constant)


1) ${{x}^{3}}+{{y}^{2}}=p{{x}^{2}}$
2) $\frac{{{x}^{2}}}{2}+\frac{{{y}^{3}}}{x}={{y}^{2}}+p$
3) ${{x}^{2}}+{{y}^{3}}=p{{x}^{2}}$
4) ${{x}^{2}}+{{y}^{2}}=p{{x}^{3}}$
Solution: Explanation: No Explanation
Homogeneous differential equations

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