| Exam Board | CAIE |
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| Module | Further Paper 2 (Further Paper 2) |
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| Year | 2022 |
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| Session | November |
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| Topic | First order differential equations (integrating factor) |
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4 Find the solution of the differential equation
$$\left( 4 t ^ { 2 } - 1 \right) \frac { d x } { d t } + 4 x = 4 t ^ { 2 } - 1$$
for which \(x = 3\) when \(t = 1\). Give your answer in the form \(\mathrm { x } = \mathrm { f } ( \mathrm { t } )\).