| Author |
Comment/Response |
John Vacano
|
 03/18/03 11:50am
Hello!
Perhaps somebody could help me with the following problem:
I want to solve a system of differential equations (eventually numerically, as they are going to be quite complex) using matrices for the definition of the function, like in the following basic example:
dmf[t_] := {{a[t], b[t]}, {c[t], d[t]}}
kmat = {{-kh, kr}, {kh, -kr}}
I could get it to work as follows:
DSolve[Flatten[dmf'[t]] == Flatten[dmf[t].kmat], Flatten[dmf[t]], t]
giving me the general solution with constants.
Trying to introduce starting conditions like:
DSolve[{Flatten[dmf'[t]] == Flatten[dmf[t].kmat],
Flatten[dmf[t]] == Flatten[{{1, 0}, {0, 0}}]}, Flatten[dmf[t]], t]
only gave me the following Error message:
DSolve::"nvld": "The description of the equations appears to be ambiguous or \
invalid."
What's wrong with this approach?
Thanks' a lot,
John
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