Euler's method

This is a demonstration of the effect of halving, or doubling, the step size for approximating solutions to the intial problem \[\frac{dx}{dt} = 0.05x, \hspace{5pt} x(0) = 100,\] with either Euler's method or Runge-Kutta of order 2 (also know as the improved Euler's method). The approximate solution is shown in red with the exact solution, \(x = 100e^{0.05t}\), in blue.

Select method:
Runge-Kutta order 2

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