Texas Instruments TI-89 User Manual

Page of 1008
Differential Equation Graphing
 421
Setting the Initial Conditions
Setting the Initial Conditions
Setting the Initial Conditions
Setting the Initial Conditions
You can enter initial conditions in the Y= Editor, let the TI-89 Titanium calculate initial 
conditions automatically, or select them interactively from the Graph screen.
Entering Initial Conditions in the Y= Editor
Entering Initial Conditions in the Y= Editor
Entering Initial Conditions in the Y= Editor
Entering Initial Conditions in the Y= Editor
You can specify one or more initial conditions in the Y= Editor. To specify more than one, 
enter them as a list enclosed in braces { } and separated by commas.
For a 2nd- or higher-order differential equation, you must define a system of 1st-order 
equations in the Y= Editor. 
To enter initial conditions for the 
y1'
 equation, 
use the 
yi1
 line, etc.
If you enter initial conditions, you must enter 
the same number of initial conditions for each 
equation in the system. Otherwise, a 
Dimension error occurs.
To specify when the initial conditions occur, 
use t0. This is also the first t evaluated for 
the graph.
To graph a family of solutions, enter a list of 
initial conditions.
Enter {10,20} even 
though {10 20} is 
displayed.