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

**Follow-Ups**:**Re: 2nd order differential equation help***From:*Tomas Garza <tgarza01@prodigy.net.mx>