Question

y
${y1}^ = \frac{xy}{2}$
solve the equation

Answer 1

Hope u like my process.
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$= > y_{1} = \frac{xy}{2} \\ \\ = > \frac{dy}{dx} = \frac{xy}{2} \\ \\ = > 2 \frac{dy}{y} = xdx \\ \\ = > 2 \int \frac{dy}{y} = \int xdx \\ \\ = > 2 log(y) = \frac{ {x}^{2} }{2} + c \\ \\ = > log( {y} ) = \frac{ {x}^{2} }{4} + c \\ \\ = > \bf \: y = {e}^{ \frac{ {x}^{2} }{4} + c }$
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