diff-equation

Question: Solution of differential equation $\frac{dy}{dx}=\frac{y-x}{y+x}$is

1) ${{\log }_{e}}({{x}^{2}}+{{y}^{2}})+2{{\tan }^{-1}}\frac{y}{x}+c=0$

2) $\frac{{{y}^{2}}}{2}+xy=xy-\frac{{{x}^{2}}}{2}+c$

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

4) $y=x-2{{\log }_{e}}y+c$

Solution:

Explanation: No Explanation

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