| Exam Board | AQA |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2012 |
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| Session | January |
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| Topic | Differential equations |
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7 Solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = y ^ { 2 } x \sin 3 x$$
given that \(y = 1\) when \(x = \frac { \pi } { 6 }\). Give your answer in the form \(y = \frac { 9 } { \mathrm { f } ( x ) }\).