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Differential equations are solved by reducing them to the exact differential of an expression in \( x \) \& y i.e., they are reduced
\( \mathrm{P} \) to the form \( \mathrm{d}(\mathrm{f}(\mathrm{x}, \mathrm{y}))=0 \)

W)
General solution of the differential equation \( e^{y} d x+\left(x e^{y}\right. \) \( -2 y) d y=0 \) is
(a) \( \mathrm{xe}^{\mathrm{y}}-\mathrm{y}^{2}=\mathrm{c} \)
(b) \( \mathrm{ye}^{\mathrm{x}}-\mathrm{x}^{2}=\mathrm{c} \)
(c) \( y \mathrm{e}^{\mathrm{y}}+\mathrm{x}=\mathrm{c} \)
(d) \( \mathrm{xe}^{\mathrm{y}}-1=\mathrm{cy}^{2} \)
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