
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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September 5th, 2012, 01:27 AM  #1 
Newbie Joined: Sep 2012 Posts: 1 Thanks: 0  how to find a solution the differential equations
Hi everyone, I have a question about how to find a solution the differential equations in (fig.1) in symbolic (analitical) form, but with 100 or 1000 equations. I can do it in numerical form, but I need it in symbolic forms. Also, I have a matrix of coefficients in a .txt file. How would I do this? Thank everyone. 
September 5th, 2012, 06:17 AM  #2 
Senior Member Joined: Sep 2009 From: Wisconsin, USA Posts: 227 Thanks: 0  Re: how to find a solution the differential equations
I certainly wouldn't try to do it by hand. Mathematica is quite a powerful tool for solving differential equations but it does cost quite a bit. Maxima can solve systems of differential equations and is free. However, I haven't had to do it yet so I don't know how limited it is. A quick search on Google shows that it's possible. Unfortunately, Sage is extremely limited with differential equations. Mathematica can certainly be programmed to read data from files and assign them as coefficients. It can also make an attempt to solve them symbolically. Now that I think about it, you could get the trial version and try to do it without paying for it. However, last time I used the trial, it would not let me save my work. 

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