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MathGroup Archive 2001

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2nd order differential equation help

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31475] 2nd order differential equation help
  • From: peterangelo at mindspring.com (Peter Dimitriou)
  • Date: Wed, 7 Nov 2001 05:30:35 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

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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