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Setting
Description
Solution Dir.
A solution curve is graphed starting at the initial condition value 0 and continues until
it reaches a target value, which can be either min or max. The solution direction
determines the target values. Forward will graph the solution curve from 0 to max.
Backward will graph the solution curve from 0 to min. Both will graph the solution curve
from 0 to min, and then 0 to max.
Independent
Assignment of the independent variable for differential equations
0 (or 0)
If the independent variable is different from the -axis variable, you can enter the initial
value for the independent variable (2nd-order and Nth-order only).
min (or min),
If the independent variable is different from the -axis variable, you can enter the
max (or max)
minimum/maximum value for the independent variable (2nd-order and Nth-order only).
-Axis
Variable assignment for the (horizontal) -axis
-Axis
Variable assignment for the (vertical) -axis
5-2 Drawing
Function Graphs
( ) type function graphs and parametric function graphs can be overlaid on differential equation graphs.
u To draw an
f
x
(
) type function graph
0506
To overlay a differential equation graph with the graphs of =
u To draw a parametric function graph
0507
To graph {
= 3sin( ) + 1,
(Angle unit setting: radian, 0 s s 2π)
5-3 Using Trace to Read Graph Coordinates
The trace function let you read the coordinates on graphs drawn with the Differential Equation Graph
application. There are three types of trace: "point trace" (shows the coordinates of any point), "field trace"
(shows the coordinates of center of each field line), and "graph/curve trace" (shows the coordinates of points on
a graph or solution curve).
u To start a point trace
On the Differential Equation Graph window, tap K.
u To start a field trace
Draw a slope field (see page 119) or a phase plane (see page 120), and then tap L.
1st-order, Nth-order: or
2nd-order: (fixed)
1st-order: same as independent variable
2nd-order: (fixed)
Nth-order: independent variable or 1 through 10
1st-order, 2nd-order: (fixed)
Nth-order: independent variable or 1 through 10
f
(
x
) Type Function Graphs and Parametric
= 3cos( ) + 1}
2
and = −
Chapter 5: Differential Equation Graph Application
2
123
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