| Exam Board | AQA |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2015 |
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| Session | June |
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| Marks | 9 |
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| Topic | First order differential equations (integrating factor) |
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2 By using an integrating factor, find the solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + ( \tan x ) y = \tan ^ { 3 } x \sec x$$
given that \(y = 2\) when \(x = \frac { \pi } { 3 }\).
[0pt]
[9 marks]