| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2006 |
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| Session | November |
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| Topic | Differential equations |
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4 Given that \(y = 2\) when \(x = 0\), solve the differential equation
$$y \frac { \mathrm {~d} y } { \mathrm {~d} x } = 1 + y ^ { 2 }$$
obtaining an expression for \(y ^ { 2 }\) in terms of \(x\).