| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2019 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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5 The variables \(x\) and \(y\) satisfy the differential equation
$$( x + 1 ) y \frac { \mathrm {~d} y } { \mathrm {~d} x } = y ^ { 2 } + 5$$
It is given that \(y = 2\) when \(x = 0\). Solve the differential equation obtaining an expression for \(y ^ { 2 }\) in terms of \(x\).