Answer
$$y =cx$$
Work Step by Step
Given $$\frac{dy}{dx}=\frac{y}{x} $$
Separate variables
\begin{align*}
\int \frac{dy}{y}&=\int \frac{dx}{x}\\
\ln y&=\ln x+\ln c\\
&=\ln cx\\
y&=cx
\end{align*}
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