Solve the following initial value problem: `2x(dy)/(dx)=3y ,\ y(1)=2`

Explanation

To solve the initial value problem \( 2x \frac{dy}{dx} = 3y \) with the initial condition \( y(1) = 2 \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the given differential equation:
\[ 2x \frac{dy}{dx} = 3y \]
We can rewrite it in a more standard form:
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