| Exam Board | OCR |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2012 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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3 Find the solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + y \cot x = 2 x$$
for which \(y = 2\) when \(x = \frac { 1 } { 6 } \pi\). Give your answer in the form \(y = \mathrm { f } ( x )\).