L^-1 {s/(s^2+1)(s^2 +4) }

asked by guest
on Sep 21, 2024 at 7:02 am



You asked:

Evaluate the expression: \({L}^{-1} \cdot \frac{s}{\left({s}^{2} + 1\right) \cdot \left({s}^{2} + 4\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle {L}^{-1} \cdot \frac{s}{\left({s}^{2} + 1\right) \cdot \left({s}^{2} + 4\right)} = \frac{s}{L \left(s^{2} + 1\right) \left(s^{2} + 4\right)} \)

Expanded

\[{L}^{-1} \cdot \frac{s}{\left({s}^{2} + 1\right) \cdot \left({s}^{2} + 4\right)} = \frac{s}{s^{4} L + 5 s^{2} L + 4 L}\]

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