9231 P23 - Jun 2025 - Q4 - 10 marks
5898
Find the particular solution of the differential equation
\(\frac{\mathrm{d}^{2} x}{\mathrm{~d} t^{2}}+\frac{\mathrm{d} x}{\mathrm{~d} t}-2 x=2 t^{2}+t-1\)
given that, when \(t=0, x=\frac{\mathrm{d} x}{\mathrm{~d} t}=0\).
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