Casio Algebra FX 2.0 PLUS User Manual page 112

Example Express the differential equation below as a set of first order
differential equations.
y
= sin
(3)
Procedure
1 m DIFF EQ
2 3(N-th)
n
)dw
3 3(
y
4 sv-3(
5 aw
aw
bw
aw
6 2(→SYS)
7 w(Yes)
The differential equation is converted to a set of first order differential equations as shown
below.
y dy dx y
( )n = / = ( )
1 2
y d y dx y
( )n = 2 / 2 = (
2 3
y x y
( )n = sin – ( ) – (
3 2
Initial values are also converted to (
Result Screen
# On the system of first order differential
equations screen, dependent valuables are
expressed as follows.
3-4-4
Differential Equations of the Nth Order
x y y x y
– n – , = 0,
0 0
y
) b-3( )cw
(n) (n)
)
y
).
3
x y
= 0), ((
0
20010101
y y
= 0, = 1, = 0.
n
0 0
y
) = 0), (( ) = 1), and ((
1 0 2 0
y ) → (Y1)
(
1
y ) → (Y2)
(
2
y ) → (Y3)
(
3
y
) = 0)).
3 0