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MathGroup Archive 2005

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Re: is this solvable?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56598] Re: [mg56585] is this solvable?
  • From: "Jaccard Florian" <Florian.Jaccard at he-arc.ch>
  • Date: Sat, 30 Apr 2005 01:27:07 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

As you have two searched functions a[t] and b[t], you should have 2 differential equations.
Let us say you have a equation2 you just forgotten to give us.
Then the correct way to obtain a symbolic solution is :


DSolve[{a'[t] + b'[t] == (-p1)*a[t] - p2*b[t], 
   equation2, a[0] == a0, 
   b[0] == b0}, {a[t], b[t]}, 
  t]

Regards
 
F.Jaccard

-----Message d'origine-----
De : ames_kin at yahoo.com [mailto:ames_kin at yahoo.com] 
Envoyé : vendredi, 29. avril 2005 09:22
À : mathgroup at smc.vnet.net
Objet : [mg56585] is this solvable?

a'[t] + b'[t]== -p1 a[t] - p2 b[t]

where {a[0]== a0, b[0]== b0}

is this solvable in Mathematica? If so, how will I go about doing so?

let's assume a[0]== a0, and b[0]==b0

if symbolic solution isn't possible, then intial conditions of
a[0]== 1, and b[0]==0.5 couild be used...(or any other numbers for that
matter)

thanks in advance.


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