| Exam Board | OCR |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2013 |
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| Session | January |
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| Topic | First order differential equations (integrating factor) |
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3 Solve the differential equation \(x \frac { \mathrm {~d} y } { \mathrm {~d} x } - 3 y = x ^ { 4 } \mathrm { e } ^ { 2 x }\) for \(y\) in terms of \(x\), given that \(y = 0\) when \(x = 1\).