`(dy)/(dx)=(2xy)/(x^(2)-y^(2))` – InterviewSolution

InterviewSolution

1.	`(dy)/(dx)=(2xy)/(x^(2)-y^(2))`
Answer» Correct Answer - `y=x{C+log\|y\|}` `x(dv)/(dx)=(v+v^(3))/(1-v^(2)) rArr int (1-v^(2))/(v(1+v^(2))dv)=int1/xdx` `rArr int1/v-(2v)/(1+v^(2))dv=-1/xdx`. [By partial fractions].

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