Texas Instruments TI-89 Voyage 200, User Manual

Page: 431 / 1008

Differential Equation Graphing 431
Example of a 3rd-Order Equation
Example of a 3rd-Order Equation Example of a 3rd-Order Equation
Example of a 3rd-Order Equation
For the 3rd-order differential equation
y'''+2y''+2y'+y = sin(x)
, write a system of equations
to enter in the Y= Editor. Then graph the solution as a function of time. Use initial
conditions
y(0) = 0
,
y'(0) = 1
, and
y''(0) = 1
.
14. In the Window Editor, change
ymin
and
ymax
as shown to the right.
Note:
When you enter 2
-graph
mode,
Window variables for the right side are set
to their defaults.
ymin= L 2.
ymax=2 .
15. Press
8 %
to display the Graph
screen for graph #2.
The left side shows the phase-plane orbit.
The right side shows the solution curve
and its derivative.
16. To return to a full screen of the original
graph, press
2 a
to switch to the left
side. Then press
3
and change the
Split Screen
setting.
Split Screen = FULL
y'
y