9231 P21 - Jun 2023 - Q6 - 11 marks
5940
Find the particular solution of the differential equation
\(\frac{\mathrm{d}^{2} x}{\mathrm{~d} t^{2}}-12 \frac{\mathrm{~d} x}{\mathrm{~d} t}+36 x=37 \sin t\)
given that, when \(t=0, x=\frac{\mathrm{d} x}{\mathrm{~d} t}=0\).
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