User Manual

20060301
14-1-1
Differential Equation Graph Application Overview
14-1 Differential Equation Graph Application
Overview
This section explains how to use the Differential Equation Graph application screen, and
describes the basic configuration of the Differential Equation Graph application windows.
Differential Equation Graph Application Features
You can use the Differential Equation Graph application to draw the following types of
graphs.
1st-order differential equation graphs
• Slope field of a first order differential equation (
y
’ =
dy
/
dx
=
f
(
x
,
y
))
• Solution curves when initial conditions are imposed on a first order differential equation
2nd-order differential equation graphs
• Phase plane of two first order differential equations (
x
’ =
dx
/
dt
=
f
(
x
,
y
);
y
’ =
dy
/
dt
=
f
(
x
,
y
))
• Solution curves when initial conditions are imposed on a set of two first order differential
equations
Nth-order differential equation graphs
• Solution curves when initial conditions are imposed on a set of multiple first order
differential equations (
y
1’ =
dy
1/
dx
=
f
(
x
,
y
) ;
y
2’ =
dy
2/
dx
=
f
(
x
,
y
) ; ... ;
yn
’ =
dyn
/
dx
=
f
(
x
,
y
))
General graphs
•
f
(
x
) type function graphs
• Parametric function graphs