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## Main Question or Discussion Point

Use Laplace to solve x''+3x'+5x=sin(8t)

Initial conditions x(0)= 2 and x'= -3

I have worked it down to (s

Initial conditions x(0)= 2 and x'= -3

I have worked it down to (s

^{2}+3s+5)X(s)= 2s+3+ [8/(s^{2}+64)] but stuck. Please help