) Type Function Graphs and Parametric Function Graphs. Casio fx-CG500

Setting

Solution Dir.

Independent t 0 (or x 0) t min (or x min), t max (or x max) x -Axis y -Axis

Description

A solution curve is graphed starting at the initial condition value t 0 and continues until it reaches a target value, which can be either t min or t max. The solution direction determines the target values. Forward will graph the solution curve from t 0 to t max.

Backward will graph the solution curve from t 0 to t min. Both will graph the solution curve from t 0 to t min, and then t 0 to t max.

Assignment of the independent variable for differential equations

1st-order, Nth-order: x or t

2nd-order: t (fixed)

If the independent variable is different from the x -axis variable, you can enter the initial value for the independent variable (2nd-order and Nth-order only).

If the independent variable is different from the x -axis variable, you can enter the minimum/maximum value for the independent variable (2nd-order and Nth-order only).

Variable assignment for the (horizontal) x -axis

1st-order: same as independent variable

2nd-order: x (fixed)

Nth-order: independent variable or y 1 through y 10

Variable assignment for the (vertical) y -axis

1st-order, 2nd-order: y (fixed)

Nth-order: independent variable or y 1 through y 10 f

(

x

) Type Function Graphs and Parametric

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 y = x 2 and y = − x 2 u To draw a parametric function graph

0507 To graph { xt = 3sin( t ) + 1, yt = 3cos( t ) + 1}

(Angle unit setting: radian, 0 s t s

2

π

)

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

.

Chapter 5: Differential Equation Graph Application    127