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Re: 2nd order differential equation help


To start with, what do you mean by

> eqn1[t_] = g'[t] + 0.1g[t] + ?g[t] == 0

in your message below?

Tomas Garza
Mexico City
----- Original Message ----- 
From: "Peter Dimitriou" <peterangelo at mindspring.com>
To: mathgroup at smc.vnet.net
Subject: [mg31504] [mg31475] 2nd order differential equation help


> Exactly how do I get this into a form Mathamatica will accept?  It has
> been a number of years since enrolling in diffeq, however I think I am
> close to correct but would appreciate help.
> 
> the problem;
> 
> Solve the differential equation:
> 
> g''(t) + 0.1 g'(t) + g(t) = 0 
> 
> where the previous equation uses conventional mathematical notation. 
> You must transfrom the equation and initial conditions into
> Mathematica syntax.
> 
> for t between 0 and 10 Pi
> 
> subject to the initial conditions
> g(0) = 0,
> g'(0) = 1
> 
> Plot your results.
> 
> My attempt is as follows:
> 
> 
> Clear[g]
> 
> Clear[eqn]
> 
> eqn[t_] = g''[t] + 0.1g'[t] + g[t] == 0
> 
> 
> Clear[eqn1]
> 
> eqn1[t_] = g'[t] + 0.1g[t] + ?g[t] == 0
> 
> solution = DSolve[{eqn[t], eqn1[t]}, g'[0] == 1, 
> g[0] == 0, g[t], {t, 0, 10\[Pi]}]
> 
> DSolve::dsvar: g[0]==0 cannot be used as a variable.
> 
> what am I dont doing right?  any suggestions helpful
> 



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