| Exam Board | CAIE |
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| Module | Further Paper 2 (Further Paper 2) |
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| Year | 2023 |
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| Session | June |
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| Topic | Second order differential equations |
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6 Find the particular solution of the differential equation
$$\frac { d ^ { 2 } x } { d t ^ { 2 } } - 12 \frac { d x } { d t } + 36 x = 37 \sin t$$
given that, when \(t = 0 , x = \frac { d x } { d t } = 0\).