| Exam Board | AQA |
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| Module | Paper 2 (Paper 2) |
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| Year | 2019 |
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| Session | June |
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| Topic | Differential equations |
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5 Solve the differential equation
$$\frac { \mathrm { d } t } { \mathrm {~d} x } = \frac { \ln x } { x ^ { 2 } t } \quad \text { for } x > 0$$
given \(x = 1\) when \(t = 2\)
Write your answer in the form \(t ^ { 2 } = \mathrm { f } ( x )\)