Edexcel FP2 2017 June — Question 5

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2017
SessionJune
TopicSecond order differential equations

5. (a) Find the general solution of the differential equation $$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } - 2 \frac { \mathrm {~d} y } { \mathrm {~d} x } = 26 \sin 3 x$$ (b) Find the particular solution of this differential equation for which \(y = 0\) and \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\)
when \(x = 0\) when \(x = 0\)