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Questions  >>  CBSE XII  >>  Math  >>  Differential Equations
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Find a particular solution satisfying the given condition $x(x^2-1)\large\frac{dy}{dx}$$=1;y=0\;when\;x=2$

$\begin{array}{1 1} y=\large\frac{ 1}{2}\log\large\frac{(x^2-1)}{x^2} - \frac{1}{2}\log\large\frac{3}{4} \\y=\large\frac{ 1}{4}\log\large\frac{(x^2+1)}{x^2} - \frac{1}{2}\log\large\frac{3}{4} \\y=\large\frac{ 1}{2}\log\large\frac{(x^2-1)}{x^2} + \frac{1}{2}\log\large\frac{3}{4} \\ y=\large\frac{ 1}{2}\log\large\frac{(x^2-1)}{x^2} - \frac{1}{4}\log\large\frac{3}{4} \end{array} $

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