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.
y쎾 → Y1 (3(y(n))b)
y앨 → Y2 (3(y(n))c)
y
(3)
→ Y3 (3(y(n))d)
5. Specify the initial value for x0, y0, y쎾0, and y앨0.
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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