The following TI-92 help modules will be useful for this module.
Continuous Dynamical Systems or Initial Value Problems
Begin by going to the TI-92 help module on Numerical Solutions of Differential Equations of the form y' = f(t, y) and downloading the program rk1. The same help module describes how to use this program to solve initial value problems on the TI-92.
The first step is to define the function rk1f that appears on the right side of the differential equation
as shown in the screen below.
The Y= screen should be set up as shown below.
with the initial condition you want as the value for ui2. Notice that plotting for the u1 sequence is turned off and plotting for the u2 sequence is turned on.
Next enter the value of the constant h as shown in the screen below. This constant controls how accurate an approximation you will get for the solution of this initial value problem. If h is small you will get a better approximation but it will take longer. We suggest h = 0.05 as a good compromise.
The WINDOW screen should be set up as shown below if h = 0.05. In general nmax and xmax should be 5 / h.
Now press GRAPH to see the solution as shown in the screen below.
Experiment with different values of m and b and with different initial conditions.