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Student Support Forum: 'underdamping solution - second-order ode' topicStudent Support Forum > General > "underdamping solution - second-order ode"

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Guillaume
04/28/10 00:41am

When I execute FullSimplify on the solution of the classic linear 2nd-order ode with constant coefficients,
x''[t] + 2 \[Zeta] w0 x'[t] + wo^2 x[t] == 0,
and with the assumption that Zeta < 1, I still obtain the form with hyperbolic functions. I would like the form with cosines functions. In Mathematica 4.1, FullSimplify did that, cf http://tinyurl.com/25ff8wj.

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Subject (listing for 'underdamping solution - second-order ode')
Author Date Posted
underdamping solution - second-order ode Guillaume 04/28/10 00:41am
Re: underdamping solution - second-order ode yehuda ben-s... 05/05/10 07:37am
Re: Re: underdamping solution - second-order ode Guillaume 05/05/10 10:36am
Re: Re: underdamping solution - second-order ode Peter Pein 05/07/10 08:04am
Re: Re: Re: underdamping solution - second-orde... Guillaume 05/10/10 11:12pm
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