| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2005 |
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| Session | November |
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| Topic | Second order differential equations |
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4 Solve the differential equation
$$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 3 \frac { \mathrm {~d} y } { \mathrm {~d} x } + 2 y = 24 \mathrm { e } ^ { 2 x }$$
given that \(y = 1\) and \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 9\) when \(x = 0\).