Casio ALGEBRA FX2.0 series Uživatelský manuál stáhnout pdf (Strana 17)

Example Express the differential equation below as a set of first order

differential equations.

(3)

= sinx – y쎾 – y앨, x0 = 0, y0 = 0, y쎾0 = 1, y앨0 = 0.

Procedure

1 m DIFF EQ

2 3(N-th)

3 3(n)dw

4 sv-3(y(n)) b-3(y(n))cw

5aw

6 2(→SYS)

7 w(Yes)

The differential equation is converted to a set of first order differential equations as shown

below.

(y1)쎾 = dy/dx = (y2)

(y2)쎾 = d

y/dx

= (y3)

(y3)쎾 = sin x – (y2) – (y3).

Initial values are also converted to (x0 = 0), ((y1)0 = 0), ((y2)0 = 1), and ((y3)0 = 0)).

# On the system of first order differential

equations screen, dependent valuables are

expressed as follows.

(

y1) → Y1

(

y2) → Y2

(

y3) → Y3

Result Screen

4-4

Differential Equations of the Nth Order

1 2 ... 12 13 14 15 16 17 18 19 20 21 22

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Casio ALGEBRA FX2.0 series Uživatelský manuál Strana 17