Casio ALGEBRA FX2.0 series - Manual (Page 17)

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Example Express the differential equation below as a set of first order
differential equations.
y (3) = sin x – y n – y Ș, x
0
= 0, y
0
= 0, y n
0
= 1, y Ș
0
= 0.
Procedure
1 m DIFF EQ
2 3(N-th)
3 3( n )dw
4 sv-3( y
(n) ) b-3( y
(n) )cw
5 a w
a w
b w
a w
6 2( →SYS)
7 w(Yes)
The differential equation is converted to a set of first order differential equations as shown
below.
( y
1
)
n = dy / dx = ( y
2
)
( y
2
) n = d 2 y / dx 2 = ( y
3
)
( y
3
)
n = sin x – ( y
2
) – ( y
3
).
Initial values are also converted to ( x
0
= 0), (( y
1
)
0
= 0), (( y
2
)
0
= 1), and (( y
3
)
0
= 0)).
# On the system of first order differential
equations screen, dependent valuables are
expressed as follows.
( y
1
) → Y1
( y
2
)
→ Y2
( y
3
) → Y3
Result Screen
4-4
Differential Equations of the Nth Order