| Exam Board | AQA |
| Module | Further Paper 1 (Further Paper 1) |
| Year | 2023 |
| Session | June |
| Topic | Second order differential equations |
4 The solution of a second order differential equation is \(\mathrm { f } ( t )\)
The differential equation models heavy damping.
Which one of the statements below could be true?
Tick ( \(\checkmark\) ) one box.
$$\begin{aligned}
& \mathrm { f } ( t ) = 2 \mathrm { e } ^ { - t } \cos ( 3 t ) + 5 \mathrm { e } ^ { - t } \sin ( 3 t )
& \mathrm { f } ( t ) = 3 \mathrm { e } ^ { - t } + 4 t \mathrm { e } ^ { - t }
& \mathrm { f } ( t ) = 7 \mathrm { e } ^ { - t } + 2 \mathrm { e } ^ { - 2 t }
& \mathrm { f } ( t ) = 8 \mathrm { e } ^ { - t } \cos ( 3 t - 0.1 )
\end{aligned}$$
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