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MathGroup Archive 2005

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Re: is this solvable?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56630] Re: is this solvable?
  • From: "dennis" <dwangsness at earthlink.net>
  • Date: Sun, 1 May 2005 00:46:26 -0400 (EDT)
  • References: <d4sov7$ale$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

The only function I know with its derivative proportional to itself is
the exponential.  Therefore, I think the solution is trivial if p1 and
p2 are constants.

a[t] = a0*Exp[-p1*t] and b[t] = b0*Exp[-p2*t]

I know this isn't using Mathematica to get the solution, but the
problem seems trivial if what you want is the solution and not a method
in Mathematica.

Regards,
Dennis

ames_kin at yahoo.com wrote:
> 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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