Explore BrainMass
Share

5 problems regarding Laplace transform

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

1. Calculate the Laplace transform of exp(-10t) x u(t)

2. Calculate the convolution of exp(-t) and sin(t) using (a) the Laplace transform (b) direct integration

3. Compute the inverse transform of (3s^2 + 4s + 1) / (s^4 + 3s^3 +3s^2+2s)

4. Use Laplace transform to calculate the solution to the ODE y"+6y'+8y=u(t) y(0)=0 y'(0)=1

5. Determine the final value of (3s^2 + 4s + 1) / (s^4 + 3s^3 +3s^2+2s)

© BrainMass Inc. brainmass.com October 16, 2018, 11:06 pm ad1c9bdddf
https://brainmass.com/engineering/electrical-engineering/5-problems-regarding-laplace-transform-245943

Attachments

Solution Summary

The 11 pages file contain full derivations and explanations of the solutions to these questions.

$2.19
Similar Posting

Solve the following Inverse and Laplace transform problems.

Please show all the steps and working.

1. Complete the following inverse Laplace transforms:
a) 1/(2s + 4)
b) 5s/(16+s^2)
c) 10/s^2
d) 4/(s-2)^2 + 16
e) (9s+ 23) /(s+2)(s+3)

2. Complete the following Laplace transforms:
a) 20
b) 20sin(5t)
c) 20exp(-5t)
e) 20exp(-5t)cos(5t)
f) 20t^2

Please see the attachment for complete question.

View Full Posting Details