## Homework 5, due February 29, 2008.

Due 5:00pm, Friday, February 29, 2008.
goodwine
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### Homework 5, due February 29, 2008.

Use Laplace transforms to solve each of the following differential equations.
1. Find the solution to
• 2. Find the solution to
• 3. Find the solution to
• 4. Find the solution to
• 5. Find the solution to
• 6. Find the solution to
• 7. Find the solution to
• 8. Find the solution to
• The function 1(t) is the step function, as discussed in class.
9. Find the solution to
• Either write your own computer program or use matlab to verify your solution. Submit a plot of the solution you obtained by hand and a plot of the numerical solution. If they are not the same, explain any differences.
10. Find the solution to
• 11. Find the solution to
• Either write your own computer program or use matlab to verify your solution. Submit a plot of the solution you obtained by hand and a plot of the numerical solution. If they are not the same, explain any differences.
Bill Goodwine, 376 Fitzpatrick
colinheye

### Problem 11

I am guessing that the function is supposed to be 't' from 0 to 1, and not t to 1. Is that correct?
goodwine
Posts: 1596
Joined: Tue Aug 24, 2004 4:54 pm
Location: 376 Fitzpatrick
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### Re: Problem 11

colinheye wrote:I am guessing that the function is supposed to be 't' from 0 to 1, and not t to 1. Is that correct?
Yes, that's right. I fixed it.
Bill Goodwine, 376 Fitzpatrick
goodwine
Posts: 1596
Joined: Tue Aug 24, 2004 4:54 pm
Location: 376 Fitzpatrick
Contact:

For problem 7 on the homework, the delta function has the Laplace
transform to e^(-s*tau), and I'm a little lost as far as how to reverse
transform that in combination with the rest of the equation. If you
could point me in the right direction that'd be great.
Unless I'm misunderstanding the question, what will happen is that it will end up multiplying the stuff that comes from the derivatives on the left hand side of the differential equation. Then you just use the time delay property from the chart.
Bill Goodwine, 376 Fitzpatrick
kwilson7
Hi, just wanted to know when/if the solutions to this HW will be posted. Thanks.
goodwine