Chapter 5: Differential Equation Graph Application
122
Chapter 5:
Differential Equation Graph Application
This chapter explains how to use the Differential Equation Graph
application, which you can use to investigate families of solutions to
ordinary differential equations.
The Differential Equation Graph application has the following two types of
windows.
1
Differential Equation Editor window
Use this window to input expressions ([DiffEq] tab) and initial conditions
([IC] tab) for graphing. You also can input
f
(
x
) type functions ([Graphs]
tab).
2
Differential Equation Graph window
This window shows the graph of the expression that you input into the
Editor window.
1
2
Differential Equation Editor Window-Specific Menus and Buttons
[DiffEq] tab, [IC] tab, [Graphs] tab
• Graph the selected function(s) ....................................................................................................................
O
• Display the View Window dialog box to configure Differential Equation Graph window settings ................
6
• Display the Main application window ..........................................................................................................
~
• Delete the line of data at the current cursor location ..................................................................................
q
[DiffEq] tab only
• Input a single first order differential equation ................................................... Type - 1st (Slope Field) or
A
• Input a single second order differential equation or a set of
two first order differential equations ........................................................ Type - 2nd (Phase Plane) or
B
• Input a higher order differential equation or a set of multiple
differential equations ..................................................................................... Type - Nth (No Field) or
9
[Graphs] tab only
• Input
f
(
x
) type functions .........................................................................................................Type -
f
(
x
) or
d
• Input parametric functions ......................................................................................... Type - Parametric or
g
[IC] tab and [Graphs] tab only
• Change graph line thickness to normal (1-dot line) or thick (2-dot line) ..............................................
F
,
G
Differential Equation Graph Window-Specific Menus and Buttons
• Toggle arrows on or off to indicate the direction of slope field or
phase plane vectors ............................................................................................................... Edit - Arrows