diff-equation

Question: The solution of the equation $\frac{dy}{dx}=\frac{{{y}^{2}}-y-2}{{{x}^{2}}+2x-3}$ is



1) $\frac{1}{3}\log \left| \frac{y-2}{y+1} \right|=\frac{1}{4}\log \left| \frac{x+3}{x-1} \right|+c$
2) $\frac{1}{3}\log \left| \frac{y+1}{y-2} \right|=\frac{1}{4}\log \left| \frac{x-1}{x+3} \right|+c$
3) $4\log \left| \frac{y-2}{y+1} \right|=3\log \left| \frac{x-1}{x+3} \right|+c$
4) None of these
Solution: Explanation: No Explanation
Variable separable type differential equations

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