| Exam Board | AQA |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | January |
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| Topic | Differential equations |
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7 Solve the differential equation \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { y } \cos \left( \frac { x } { 3 } \right)\), given that \(y = 1\) when \(x = \frac { \pi } { 2 }\).
Write your answer in the form \(y ^ { 2 } = \mathrm { f } ( x )\).