Texas Instruments Titanium TI-89 User Manual

Differential Equation Graphing 432
Example
ExampleExample
Example
1. Press 3 and set
Graph=DIFF EQUATIONS.
2. Define a system of equations for the 3rd-
order equation.
Rewrite the equation and make the
necessary substitutions.
y''' + 2y'' + 2y' + y =
sin(x)
y''' = sin(x) N 2y'' N 2y'
N y
y''' = sin(t)
N 2y'' N 2y'
N y
y''' = sin(t)
N 2y3 N 2y2
N y1
y3' = sin(t)
N 2y3 N 2y2
N y1
3. In the Y= Editor (8#), enter the
system of equations.
4. Enter the initial conditions:
yi1=0, yi2=1, and yi3=1
Note:
t0 is the time at which the initial
conditions occur. By default,
t0=0.
5. Be sure that only
y1' is selected. Use †
to deselect any other equations.
Important: The
solution to the y1'
equation is the
solution to the 3rd-
order equation.

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)