If $\frac{dy}{dx} = \frac{y}{x}$ and $y(1) = 2$, then $y(3)$ equals _____.
Step-by-Step Solution
Key Concept: Separate the variables to get $\frac{dy}{y} = \frac{dx}{x}$, integrate to obtain $y = Cx$, and use the given condition to fix $C$ before evaluating at $x = 3$.
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Correct Answer: 6