Texas Instruments Titanium TI-89 User Manual

Differential Equation Graphing 431
Example of a 3rd-Order Equation
Example of a 3rd-Order EquationExample 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=L2.
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

Texas Instruments Titanium TI-89 Specifications

General

Display Type	LCD
Display Resolution	160 x 100 pixels
Memory	188 KB RAM, 2.7 MB Flash ROM
Type	Graphing Calculator
Display	Monochrome
Processor	Motorola 68000
Processor Speed	12 MHz
Power Source	4 AAA batteries
Connectivity	USB
Programming	TI-BASIC, Assembly
Operating System	AMS (Advanced Mathematics Software)