Example Comparison Of Rk And Euler - Texas Instruments TI-89 Titanium User Manual

13. Return to the Graph screen, which
displays a curve for each pair of initial
conditions.
14. Press ... to trace. Then press
see the number of foxes (
( ) at .
yc t=3
Because
t0=0
in the range 0  t  10.
Use C and D to move the trace
Note:
cursor from one initial condition curve to
another.

Example Comparison of RK and Euler

Consider a logistic growth model
. Use the
10 BldData
Euler solution methods. Then plot those points along with a graph of the equation's exact
solution.
Example
1. Press 3 and set
.
EQUATIONS
Differential Equation Graphing
3
) and rabbits
xc
and , you can trace
tmax=10
dP/dt = .001
instruction to compare the graphing points calculated by the RK and
Graph=DIFF
¸ to
ù ù
P (100 N P)
, with the initial condition
P(0) =
425