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How general solution of this form of differential equation can be found? $\frac {dy}{dx} = \frac {2y}{x}$

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$\frac{dy}{dx}=\frac{2y}{x} \hspace{10pt}\Leftrightarrow \hspace{10pt}\frac{dy}{2y}=\frac{dx}{x}$ Now you just need to integrate.

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    No, That becomes $\frac12\ln y=\ln x+C$ and so $y=Cx^2$2012-11-23