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mws_com_ode_txt_runge2nd_Examples

# mws_com_ode_txt_runge2nd_Examples - Chapter 08.03...

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08.04.1 Chapter 08.03 Runge-Kutta 2nd Order Method for Ordinary Differential Equations-More Examples Computer Engineering Example 1 A rectifier-based power supply requires a capacitor to temporarily store power when the rectified waveform from the AC source drops below the target voltage. To properly size this capacitor a first-order ordinary differential equation must be solved. For a particular power supply, with a capacitor of μ F 150 , the ordinary differential equation to be solved is       0 , 04 . 0 2 120 cos 18 max 1 . 0 10 150 1 ) ( 6 t v t dt t dv 0 ) 0 ( v Using the Runge-Kutta 2 nd order method, find the voltage across the capacitor at s 00004 . 0 t . Use step size s 0.00002 h . Solution     0 , 04 . 0 2 120 cos 18 max 1 . 0 10 150 1 6 v t dt dv      0 , 04 . 0 2

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mws_com_ode_txt_runge2nd_Examples - Chapter 08.03...

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