| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2004 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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6 Given that \(y = 1\) when \(x = 0\), solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y ^ { 3 } + 1 } { y ^ { 2 } }$$
obtaining an expression for \(y\) in terms of \(x\).