| Exam Board | OCR |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2015 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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5 Find the particular solution of the differential equation
$$x \frac { \mathrm {~d} y } { \mathrm {~d} x } + 3 y = x ^ { 2 } + x$$
for which \(y = 1\) when \(x = 1\), giving \(y\) in terms of \(x\).