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Revision as of 14:37, 7 October 2013 by Goodwine (talk | contribs) (Created page with "The equation should be: <math>x(t) = \frac{\dot x_0 + x_0 \omega_n \left( \zeta + \sqrt{\zeta^2 - 1} \right)}{2 \omega_n \sqrt{\zeta^2 - 1}} e^{\left(- \zeta \omega_n + \omeg...")

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The equation should be:

$x(t)={\frac {{\dot {x}}_{0}+x_{0}\omega _{n}\left(\zeta +{\sqrt {\zeta ^{2}-1}}\right)}{2\omega _{n}{\sqrt {\zeta ^{2}-1}}}}e^{\left(-\zeta \omega _{n}+\omega _{n}{\sqrt {\zeta ^{2}-1}}\right)t}-{\frac {{\dot {x}}_{0}-x_{0}\omega _{n}\left(-\zeta +{\sqrt {\zeta ^{2}-1}}\right)}{2\omega _{n}{\sqrt {\zeta ^{2}-1}}}}e^{\left(-\zeta \omega _{n}-\omega _{n}{\sqrt {\zeta ^{2}-1}}\right)t}.$

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