Combined polynomial and trigonometric RHS

A question is this type if and only if the right-hand side contains both polynomial and trigonometric terms requiring separate particular integrals.

2 questions · Challenging +1.0

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AQA FP3 2010 January Q7

8 marks Standard +0.8

7 Find the general solution of the differential equation $$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 4 y = 8 x ^ { 2 } + 9 \sin x$$ (8 marks)

AQA FP3 2007 January Q5

12 marks Challenging +1.2

5 Find the general solution of the differential equation $$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } - 4 \frac { \mathrm {~d} y } { \mathrm {~d} x } + 3 y = 6 + 5 \sin x$$ (12 marks)