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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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