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Questions  >>  CBSE XII  >>  Math  >>  Differential Equations
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Show that the differential equation is homogeneous and solve $y\: dx+x\log\bigg(\large\frac{y}{x}\bigg)$$dy-2x\;dy=0$

$\begin{array}{1 1}\log(\large\frac{y}{x}) - 1 = Cy \\\log(\large\frac{x}{y}) - 1 = Cy \\ \log(\large\frac{y}{x}) + 1 = Cy \\\log(\large\frac{x}{y}) +1 = Cy \end{array} $

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