Texas Instruments TITANIUM TI-89 - Manual (Page 431)

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