| Exam Board | CAIE |
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| Module | Further Paper 2 (Further Paper 2) |
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| Year | 2020 |
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| Session | November |
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| Topic | Second order differential equations |
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6 Find the particular solution of the differential equation
$$\frac { d ^ { 2 } x } { d t ^ { 2 } } + 8 \frac { d x } { d t } + 15 x = 102 \cos 3 t$$
given that, when \(t = 0 , x = 1\) and \(\frac { \mathrm { dx } } { \mathrm { dt } } = 0\).