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Setting
Description
Solution Dir.
A solution curve is graphed starting at the initial condition value
it reaches a target value, which can be either
determines the target values. Forward will graph the solution curve from
Backward will graph the solution curve from
from
Independent
Assignment of the independent variable for differential equations
t
x
0 (or
0)
If the independent variable is different from the
value for the independent variable (2nd-order and Nth-order only).
t
x
min (or
min),
If the independent variable is different from the
t
x
max (or
max)
minimum/maximum value for the independent variable (2nd-order and Nth-order only).
x
-Axis
Variable assignment for the (horizontal)
y
-Axis
Variable assignment for the (vertical)
5-2 Drawing
Function Graphs
f
x
(
) 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
xt
0507
To graph {
= 3sin(
(Angle unit setting: radian, 0 s
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 (page 123) or a phase plane (page 124), and then tap L.
t
0 to
t
min, and then
t
x
1st-order, Nth-order:
t
2nd-order:
(fixed)
1st-order: same as independent variable
2nd-order:
x
(fixed)
Nth-order: independent variable or
y
1st-order, 2nd-order:
Nth-order: independent variable or
f
(
x
) Type Function Graphs and Parametric
t
yt
t
) + 1,
= 3cos(
) + 1}
s 2π)
t
t
min or
t
0 to
0 to
t
max.
t
or
x
-axis variable, you can enter the initial
x
-axis variable, you can enter the
x
-axis
y
1 through
y
-axis
(fixed)
y
1 through
y
=
Chapter 5: Differential Equation Graph Application 127
t
0 and continues until
t
max. The solution direction
t
min. Both will graph the solution curve
y
10
y
10
x
2
y
x
2
and
= −
t
t
0 to
max.
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