Question: 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

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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