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[Q] Differential equation?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg22620] [Q] Differential equation?
  • From: research at proton.csl.uiuc.edu (James)
  • Date: Tue, 14 Mar 2000 22:46:28 -0500 (EST)
  • Organization: University of Illinois at Urbana-Champaign
  • Sender: owner-wri-mathgroup at wolfram.com

Hi!

I began to use Mathematica, and found out it is great.
But I happen to have a question during solving differential equtations.
Here's a problem.

    y'_0(t)  =  -a * y_0(t) +      b * y_1(t)
    y'_1(t)  =   a * y_0(t) + (c*t-b) * y_1(t)     --- (*)
                                 ^
This can be solvable mathematically, even some tedious work, 
but when I use Mathematica, it can't solve it.
After some trial and error, I found out that 't' in (*)
is the problem - problem that mathematica doesn't give an answer,
it just shows the above equations as an answer.
So I wonder if this is the limit of Mathematica,
or is there any way to solve it?
I sincerely hope there's some way - because my work involves
a lot of Diffrential Equations.
Any reply would be appreciated.


James.



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