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MathGroup Archive 2005

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Re: nonlinear differential equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54647] Re: nonlinear differential equation
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 25 Feb 2005 01:18:45 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <cvhequ$qft$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

deqn = s''[t] - a*s[t]^2 - b*s[t] - c == 0;

ddeqn=Integrate[#, t] & /@ Expand[s'[t]*#] & /@ deqn

gives you a nonlinear first order equation and DSolve[] can express the

solution in InverseFunction[] of elliptic integrals.

Regards

  Jens

"Umby" <umprisco at unina.it> schrieb im Newsbeitrag 
news:cvhequ$qft$1 at smc.vnet.net...
> hi group,
>
> could anyone help me in solving the following nonlinear differential
> equation:
> s''[t] - a1s[t]^2 - b1 s[t] - c1 = 0
> s[0] = 0, s'[0] = v0
>
> is it possible to solve it?
>
> thanks
> -u
>
> 



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