Using numerical methods, solve the differential equation [frac{d q}{d t}=-alpha q+beta] Compare your results with the exact

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Using numerical methods, solve the differential equation

\[\frac{d q}{d t}=-\alpha q+\beta\]

Compare your results with the exact solution as a function of the discrete time-step you use, and the order/method of the algorithm you adopt. Try in particular contrasting 4th order Runge-Kutta with another algorithm of your choosing.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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