| 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 | Differential equations |
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4 The variables \(x\) and \(y\) are related by the differential equation
$$\left( x ^ { 2 } + 4 \right) \frac { d y } { d x } = 6 x y$$
It is given that \(y = 32\) when \(x = 0\). Find an expression for \(y\) in terms of \(x\).