20060301
14-2-3
Graphing a First Order Differential Equation
Inputting Initial Condition
s
and Graphing the Solution Curve
s
of a Fir
s
t
Order Differential Equation
You can use the procedure in this section to overlay, onto the slope field, solution curves of
the first order differential equation input on the [DiffEq] tab for given initial conditions.
Example:
To input the first order differential equation
y
’ =
y
2
–
x
, draw its slope field, and then
graph three solution curves for the initial conditions (
xi
,
yi
) = (0,0), (0,0.5), (0,1)
S
Cla
ss
Pad Operation
(1) Use the procedure under “Inputting a First Order Differential Equation and Drawing a
Slope Field” on page 14-2-1 to draw the slope field for
y
’ =
y
2
–
x
.
(2) Activate the Differential Equation Editor window and then tap the [IC] tab.
• This displays the initial condition editor.
(3) On the initial condition editor, input the following initial conditions: (
xi
,
yi
) = (0,0), (0,0.5),
(0,1). Perform the following operations.
?
U
?
U
?
U
?D
U
?
U
@
U
(4)
Tap
.
• This graphs the three solution curves over the slope field of
y’
=
y
2
–
x
.
2
[Edit] - [Redraw]
Summary of Contents for ClassPad 330
Page 11: ...20060301 20090601 ClassPad 330 ClassPad OS Version 3 04 ...
Page 277: ...20060301 3 3 10 Storing Functions 3 Tap AND Plot OR Plot ...
Page 779: ...20090601 S Graph Line Clustered C S Graph Line Stacked E 13 9 2 Graphing ...
Page 780: ...20090601 S Graph Line 100 Stacked F S Graph Column Clustered G 13 9 3 Graphing ...
Page 781: ...20090601 S Graph Column Stacked I S Graph Column 100 Stacked J 13 9 4 Graphing ...
Page 782: ...20090601 S Graph Bar Clustered K S Graph Bar Stacked 9 13 9 5 Graphing ...
