Exam-Style Problem

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Nov 2017 p32 q5
2276

The variables x and y satisfy the differential equation

\((x+1) \frac{dy}{dx} = y(x+2),\)

and it is given that \(y = 2\) when \(x = 1\). Solve the differential equation and obtain an expression for \(y\) in terms of \(x\).

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