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• 19:00, 7 August 2024 Goodwine talk contribs created page P. 359, peak time derivation (Created page with "The final result is correct, but there are multiple mistakes in the derivation of the peak time. The derivation should be: <math> \frac{d}{dt} y(t) = \zeta \omega_n e^{-\zeta \omega_n t} \left( \cos \omega_d t + \frac{\zeta}{\sqrt{1 - \zeta^2}} \sin \omega_d t \right) - e^{-\zeta \omega_n t} \left(- \omega_d \sin \omega_d t + \frac{\zeta \omega_d}{\sqrt{1 - \zeta^2}} \cos \omega_d t \right) </math> <math> \frac{d}{dt} y(t) = \zeta \omega_n e^{-\zeta \omega_n t} \left(...")