Edexcel FP2 2005 June — Question 2

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2005
SessionJune
TopicFirst order differential equations (integrating factor)

Find the general solution of the differential equation $$\frac { \mathrm { d } y } { \mathrm {~d} x } + 2 y \cot 2 x = \sin x , \quad 0 < x < \frac { \pi } { 2 }$$ giving your answer in the form \(y = \mathrm { f } ( x )\).
(Total 7 marks)