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3 cards from this section. Quick, good the night before a test.
Find the inverse Laplace transform of L⁻¹{1 / s^2}.
Recall that L⁻¹{1/s^n} corresponds to t^(n-1)/(n-1)!
What is L⁻¹{5 / s + 2}?
Use the standard inverse transform for exponential decay.
What does the Inverse Laplace Transform do?
Think about the relationship between time and frequency functions.
Partial fraction decomposition is used for what purpose?
It's about breaking down functions to find their inverses.
Evaluate L⁻¹{(s² + 5s + 6) / (s³ + 4s² + 5s)}. Show all steps in the solution.
Factor the denominator first, and then apply partial fractions.
Use the Convolution Theorem to find L⁻¹{(s+3)(s+2)/(s² + 4)(s + 1)}. Explain each step.
Identify the two parts to convolve and apply the integral accordingly.
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