Edexcel F2 2020 June — Question 6

Exam BoardEdexcel
ModuleF2 (Further Pure Mathematics 2)
Year2020
SessionJune
TopicFirst order differential equations (integrating factor)

6. Obtain the general solution of the equation $$x ^ { 2 } \frac { \mathrm {~d} y } { \mathrm {~d} x } + ( x \cot x + 2 ) x y = 4 \sin x \quad 0 < x < \pi$$ Give your answer in the form \(y = \mathrm { f } ( x )\)
(8)