| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1356.1 | | HPSTEK::XIA | In my beginning is my end. | Thu Dec 13 1990 14:01 | 15 |
| Take Laplace transform, you get:
2
s Y(s) + 3sY(s) + 2Y(s) = 10sU(s) + 3U(s)
Then you get:
(10s + 3)
Y(s) = ------------ U(s)
(s+1)(s+2)
Now you got to tell us what u(t) is and then, hopefully, you can figure
out what U(s) is, then it becomes a matter of splitting the rational
and take the inverse Laplace transform.
Eugene
|
| 1356.2 | | ALLVAX::JROTH | Saturday alley up to Sunday street | Thu Dec 13 1990 17:33 | 14 |
| <<< Note 1356.1 by HPSTEK::XIA "In my beginning is my end." >>>
> Now you got to tell us what u(t) is and then, hopefully, you can figure
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
> out what U(s) is, then it becomes a matter of splitting the rational
> and take the inverse Laplace transform.
I see you're not an engineer :-)
u(t) is the unit step function most likely. Note that you have to
specify the initial conditions on y(t) to make a unique solution.
Beyond that, it's a plug-in homework problem.
- Jim
|
| 1356.3 | | HPSTEK::XIA | In my beginning is my end. | Fri Dec 14 1990 13:00 | 7 |
| Uh... Jim, I have a B.S. degree in EE. :-) In control classes (where
most of those things come up), u(t) usually stands for some arbitrary
linear input (ok, maybe my memory is a bit rusted). You are right, we
need to know y(0). In my solution, I just assumed that y(0)=0, and it
is a standard "plug&chug" homework problem.
Eugene
|
| 1356.4 | check out the Schaums Outline for more help | ALLVAX::JROTH | Saturday alley up to Sunday street | Fri Dec 14 1990 15:08 | 17 |
| <<< Note 1356.3 by HPSTEK::XIA "In my beginning is my end." >>>
> Uh... Jim, I have a B.S. degree in EE. :-) In control classes (where
Hah! You could have fooled me, you've used some mathematics-sect
jargon at times that no engineer would be caught dead using :-)
Re .0
There's an inexpensive Schaums outline on the Laplace Transform that
I recommend - you might want to check it out to supplement your course.
It will really clarify the ideas.
[For introductory math many of the outlines are really excellent - can
hardly beat the prices either!]
- Jim
|