Answer
$\ln |y|=\ln|x|+C$
Work Step by Step
We are given that $\dfrac{dy}{dx}=\dfrac{y}{x}$
We will separate the variables to obtain:
$\dfrac{dy}{y}=\dfrac{dx}{x}$
Integrate to obtain:
$\int \dfrac{dy}{y}=\int \dfrac{dx}{x}$
This implies that $\ln |y|=\ln|x|+C$
