Find the inverse Laplace transform of (F(s) = frac{s^2 + s + 1}{s^3 + s})
Added by Julian C.
Close
Step 1
We can do this by dividing both sides of the equation by (s+1): F(s) = \frac{s}{s+1} Now, we can find the inverse Laplace transform of F(s): \mathcal{L}^{-1}\{F(s)\} = \mathcal{L}^{-1}\left\{\frac{s}{s+1}\right\} To find the inverse Laplace transform, we can Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 94 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine the inverse Laplace transform of the given function. $$F(s)=\frac{1}{s(s+1)}.$$
The Laplace Transform and Some Elementary Applications
The Existence of the Laplace Transform and the Inverse Transform
Determine the inverse Laplace transform of $F.$ $$F(s)=\frac{e^{-s}}{s+1}$$.
The Second Shifting Theorem
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD