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Solve 2(y+3)-x y(dy)/(dx)=0, given that ...

Solve `2(y+3)-x y(dy)/(dx)=0`, given that `y(1)=-2`

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To solve the differential equation \( 2(y + 3) - xy \frac{dy}{dx} = 0 \) with the initial condition \( y(1) = -2 \), we can follow these steps: ### Step 1: Rearrange the Equation We start by rearranging the equation to isolate the derivative term: \[ xy \frac{dy}{dx} = 2(y + 3) \] ...
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