There is a second method provided called rungeKuttaMethod that uses a different numerical

method to compute solutions to differential equations. Carry out the same process from the

last four parts for this rungeKuttaMethod. That is:

$$ Compute the error between the actual solution and the numerical solution for the set of

step$-$sizes $0\mathrm{.}1,0\mathrm{.}07,0\mathrm{.}05,0\mathrm{.}02,0\mathrm{.}01,0\mathrm{.}007,0\mathrm{.}005,$ and $0\mathrm{.}003.($If we use the same step

sizes as before, we end up getting into machine precision issues.$)$

$$ Plot ln$($Error$)$ vs$.$ ln$($t$).$

$$ Use the same code to find the slope of the best$-$fit line.

What is the order of the Runge$-$Kutta method? Create a matlab script to help me understand the question and how to solve it