Explore BrainMass

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 25, 2018, 12:55 am ad1c9bdddf


Solution Summary

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

See Also This Related BrainMass Solution

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