Casio ALGEBRA FX2.0 series User Manual

Page 16

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4-3

Differential Equations of the Nth Order

k Converting a High-order Differential Equation to a System of the First

Order Differential Equations

You can convert a single N-th order differential equation to a system of

n

first order

differential equations.

Set Up

1. From the Main Menu, enter the DIFF EQ Mode.

Execution (N = 3)

2. Press 3(N-th).

3. Press 3(

n

)d to select a differential equation of the third order.

4. Perform substitutions as follows.

y

n → Y1 (3(

y

(n)

)b)

y

Ș → Y2 (3(

y

(n)

)c)

y

(3)

→ Y3 (3(

y

(n)

)d)

5. Specify the initial value for

x

0

,

y

0

,

y

n

0

, and

y

Ș

0

.

6. Press 2(

→SYS).

7. Press w(Yes).

• The entered differential equation is converted to a system of three first order

differential equations. Initial values are also converted accordingly.

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