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mws_ind_ode_txt_runge2nd_Examples

# mws_ind_ode_txt_runge2nd_Examples - Chapter 08.03...

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08.02.1 Chapter 08.03 Runge-Kutta 2nd Order Method for Ordinary Differential Equations-More Examples Industrial Engineering Example 1 The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is w dt dw . 06 . 0 02 0 20 If the initial speed is zero; use the Runge-Kutta 2 nd order method and a step size of s 4 . 0 h to find the speed at s 8 . 0 t . Solution w dt dw 3 1000 w t , w f 3 1000 Per Heun’s method h k k w w i i 2 1 1 2 1 2 1 i i t w f k , 1 h k t h w f k i i 1 2 , For 0 , 0 , 0 0 0 w t i 0 0 1 , w t f k 0 , 0 f 0 3 1000 1000 h k w h t f k 1 0 0 2 , 4 . 0 1000 0 , 4 . 0 0 f 400 , 4 . 0 f 400 3 1000 200

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08.02.2 Chapter 08.02 h k k w w 2 1 0 1 2 1 2 1
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mws_ind_ode_txt_runge2nd_Examples - Chapter 08.03...

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