| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2012 |
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| Session | November |
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| Topic | First order differential equations (integrating factor) |
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6 The variables \(x\) and \(y\) are related by the differential equation
$$x \frac { \mathrm {~d} y } { \mathrm {~d} x } = 1 - y ^ { 2 }$$
When \(x = 2 , y = 0\). Solve the differential equation, obtaining an expression for \(y\) in terms of \(x\).