Question

any one can help me to solve laplace tranform in RLC circuit??
Q(s) = 20/ s{(s+80)^2) + 3600}
find q(t)

Answer 1

is it...
\[Q(s) = \frac{ 20 }{ s \left[ (s+80)^{2}+3600 \right] }\]

Answer 2

That is what Mathematica gave
\[
\mathcal{L}_s^{-1}\left[\frac{20}{s
\left((s+80)^2+3600\right)}\right](x)=\\
20 \left(\frac{1}{10000}+\frac{i
e^{(-80-60 i) x} \left((4+3 i) e^{120 i
x}+(-4+3 i)\right)}{60000}\right)
\]