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14-2-3
Graphing a First Order Differential Equation
Inputting Initial Conditions and Graphing the Solution Curves of a First
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
ClassPad 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]