9231 P12 - Nov 2018 - Q4 - 8 marks
6221
(i) Find the general solution of the differential equation
\(\frac{\mathrm{d}^{2} x}{\mathrm{~d} t^{2}}+2 \frac{\mathrm{~d} x}{\mathrm{~d} t}+x=4 \sin t\)
(ii) State an approximate solution for large positive values of \(t\).
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