User manual - Chapter 3 Differential Equations

20010101
Example Express the differential equation below as a set of first order
differential equations.
y
(3)
= sinx – y쎾 – y앨, x0 = 0, y0 = 0, y 쎾0 = 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
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.
(y1)쎾 = dy/dx = (y2)
(y2)쎾 = d
2
y/dx
2
= (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
3-4-4
Differential Equations of the Nth Order