| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2015 |
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| Session | June |
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| Topic | Differential equations |
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7 Given that \(y = 1\) when \(x = 0\), solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 4 x \left( 3 y ^ { 2 } + 10 y + 3 \right)$$
obtaining an expression for \(y\) in terms of \(x\).