diff-equation

Question: The solution of the differential equation ${{x}^{2}}\frac{dy}{dx}={{x}^{2}}+xy+{{y}^{2}}$ is

1) ${{\tan }^{-1}}\left( \frac{y}{x} \right)=\log x+c$

2) ${{\tan }^{-1}}\left( \frac{y}{x} \right)=-\log x+c$

3) ${{\sin }^{-1}}\left( \frac{y}{x} \right)=\log x+c$

4) ${{\tan }^{-1}}\left( \frac{x}{y} \right)=\log x+c$

Solution:

Explanation: No Explanation

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