9231 P22 - Nov 2022 - Q4 - 9 marks
6002
Find the solution of the differential equation
\(\left(4t^2-1\right)\frac{\mathrm{d}x}{\mathrm{d}t}+4x=4t^2-1\)
for which \(x=3\) when \(t=1\). Give your answer in the form \(x=f(t)\).
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