| Exam Board | Edexcel |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2013 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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4. Find the general solution of the differential equation
$$x \frac { \mathrm {~d} y } { \mathrm {~d} x } + ( 1 + x \cot x ) y = \sin x , \quad 0 < x < \pi$$
giving your answer in the form \(y = \mathrm { f } ( x )\).