List Archives > 
Maple User Group List Archive > 
Archive by date > 
This Month By Date > 
This Month By Topic
[MUG] Laplace Transforms
| [MUG] Laplace Transforms |
|
Author: Chuck Baker
Posted: 23/11/2000 21:56:58 GMT
|
>> From: Chuck Baker
Hello all,
I have the following linear set of first order differential equations which I
have
solved by coupling Laplace transforms with linear algebra.
y' = 2y - 4z, y(0) = 3
z' = y - 3z, z(0) = 0
I derived solutions by hand by first taking the Laplace transforms of the
differential equations,
then, I solved the simultaneous equations for Y(s) and Z(s).
Finally, I determined the inverse transforms to develop the solution
expressions y(t) and z(t).
I computed the solutions to be:
Y(t) = 4e^t - e^-2t
Z(t) = e^t - e^-2t
How can this process be written in Maple?
Thanks,
Chuck
|
[View Complete Thread]
Previous by date: [MUG] Fourier series, Chuck Baker
Next by date: [MUG] Re: Numerical integration of functions with singularity, Robert Israel
Previous thread: [MUG] Is there a way to display x bar?, Larry Fasnacht
Next thread: [MUG] Numerical integration of functions with singularity, Arvind Raman
|