AQA FP3 2006 June — Question 3

Exam BoardAQA
ModuleFP3 (Further Pure Mathematics 3)
Year2006
SessionJune
TopicFirst order differential equations (integrating factor)
3
  1. Show that \(\sin x\) is an integrating factor for the differential equation $$\frac { \mathrm { d } y } { \mathrm {~d} x } + ( \cot x ) y = 2 \cos x$$
  2. Solve this differential equation, given that \(y = 2\) when \(x = \frac { \pi } { 2 }\).
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