Re: [Q] Differential equation?
- To: mathgroup at smc.vnet.net
- Subject: [mg22678] Re: [mg22620] [Q] Differential equation?
- From: James <research at proton.csl.uiuc.edu>
- Date: Sat, 18 Mar 2000 01:27:53 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
> > James: > > These were your equations - > > y'_0(t) = -a * y_0(t) + b * y_1(t) > y'_1(t) = a * y_0(t) + (c*t-b) * y_1(t) --- (*) > > Interesting - what is the physical system that they describe? Can you tell > us? > Thank you for your reply. The system I'm working on is "2-state MMFP(Markov Modulated Fluid Process)", and want to compute the moment generating function of y_s(t). As you know, to get that function, it is necessary, as a first step, to solve those two equations, where I have a trouble. I really want to get the algebraical result, and want to know how I can do that. Thank you. James. > > > >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. > > > > > > >