The inverse Laplace transform of the function (1/(s+s^3)) is definitively 1 - cos(t). The solution can be derived using partial fraction decomposition, which simplifies the expression effectively. Initial attempts to solve the problem using a Laplace transform chart were unproductive, but revisiting the partial fractions method proved successful. This discussion highlights the importance of correctly applying mathematical techniques in solving inverse Laplace transforms.
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rAInMo9 said:Homework Statement
What is the inverse laplace transform of (1/(s+s^3))?
Homework Equations
The Attempt at a Solution
I looked it up on wolframalpha and got 1-cos(t), but I don't understand how they got that answer. I looked up a basic laplace transform chart and didn't see anything that matched; also thought of using partial fractions to simplify it but that didn't work out.