| Exam Board | Edexcel |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Topic | First order differential equations (integrating factor) |
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6. (a) Find the general solution of the differential equation
$$\cos x \frac { \mathrm {~d} y } { \mathrm {~d} x } + ( \sin x ) y = \cos ^ { 3 } x$$
(b) Show that, for \(0 \leq x \leq 2 \pi\), there are two points on the \(x\)-axis through which all the solution curves for this differential equation pass.
(c) Sketch the graph, for \(0 \leq x \leq 2 \pi\), of the particular solution for which \(y = 0\) at \(x = 0\).
[0pt]
[P4 June 2002 Qn 6]