| Exam Board | AQA |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2010 |
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| Session | January |
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| Topic | Second order differential equations |
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7 Find the general solution of the differential equation
$$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 4 y = 8 x ^ { 2 } + 9 \sin x$$
(8 marks)