Exam Questions – Particular solutions using boundary conditions
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A-LEVEL ALGEBRA · EDEXCEL · OCR
Particular solutions using boundary conditions Exam Questions
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1EDEXCEL FP2 June 2011 Q8
The differential equation d^2x/dt^2 + 6 dx/dt + 9x = cos 3t, t >= 0, describes the motion of a particle along the x-axis. (a) Find the general solution of this differential equation. (8) (b) Find the particular solution of this differential equation for which, at t = 0, x = 1/2 and dx/dt = 0. (5) On the graph of the particular solution defined in part (b), the first turning point for t > 30 is the point A. (c) Find approximate values for the coordinates of A. (2)