| Exam Board | OCR |
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| Module | FP3 (Further Pure Mathematics 3) |
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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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3 The differential equation
$$3 x y ^ { 2 } \frac { \mathrm {~d} y } { \mathrm {~d} x } + 2 y ^ { 3 } = \frac { \cos x } { x }$$
is to be solved for \(x > 0\). Use the substitution \(u = y ^ { 3 }\) to find the general solution for \(y\) in terms of \(x\).