| Exam Board | AQA |
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| Module | Further Paper 1 (Further Paper 1) |
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| Year | 2024 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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14 Solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + y \tanh x = \sinh ^ { 3 } x$$
given that \(y = 3\) when \(x = \ln 2\)
Give your answer in an exact form.