diff-equation

Question: The solution of the differential equation $({{x}^{2}}-y{{x}^{2}})\frac{dy}{dx}+{{y}^{2}}+x{{y}^{2}}=0$ is

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

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

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

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

Solution:

Explanation: No Explanation

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