| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2010 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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5 Given that \(y = 0\) when \(x = 1\), solve the differential equation
$$x y \frac { \mathrm {~d} y } { \mathrm {~d} x } = y ^ { 2 } + 4 ,$$
obtaining an expression for \(y ^ { 2 }\) in terms of \(x\).