| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2017 |
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| Session | November |
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| Topic | Differential equations |
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5 The variables \(x\) and \(y\) satisfy the differential equation
$$( x + 1 ) \frac { \mathrm { d } y } { \mathrm {~d} x } = y ( x + 2 )$$
and it is given that \(y = 2\) when \(x = 1\). Solve the differential equation and obtain an expression for \(y\) in terms of \(x\).