| Exam Board | Edexcel |
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| Module | F2 (Further Pure Mathematics 2) |
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| Year | 2014 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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6.
$$x \frac { \mathrm {~d} y } { \mathrm {~d} x } + ( 1 - 2 x ) y = x , \quad x > 0$$
Find the general solution of the differential equation, giving your answer in the form \(y = \mathrm { f } ( x )\).