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Casio ClassPad II fx-CP400 Examples User Manual

Page 20

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Chapter 5: Differential Equation Graph Application

  20

0503

1. On the Differential Equation Editor window, tap [Type] - [2nd (Phase Plane)] or

B.

2.

Xw-Yw

3. Tap

O to draw the phase plane.

0504

1. Activate the Differential Equation Editor window and then tap the [IC] tab.

• This displays the initial condition editor.

2. Input (

xi

,

yi

) = (1, 1) on the initial condition editor.

3. Tap

O.

• This graphs the solution curve and overlays it on the phase plane of

x

’ =

x

,

y

’ = −

y

.

0505

1. On the Differential Equation Editor window, tap [Type] - [Nth (No Field)] or

9.

2. Input

y

’’ =

x

y

by dividing it into two first order differential equations. If

we let

y

1 =

y

and

y

2 =

y

’, we see that

y

1’ =

y

’ =

y

2 and

y

2’ =

y

’’ =

x

y

1.

Ycw

X-Ybw

3. Tap the [IC] tab to display the initial condition editor.

4. Input (

xi

,

y

1

i

,

y

2

i

) = (0, −1, 0), (0, 0, 0), (0, 1, 0).

5. Tap

O.

LY777Ex_E.indb 20

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