System Of First Order Differential Equations - Casio Differential Equation Software Manual

5. System of First Order Differential Equations

A system of first order differential equations, for example, has dependent variables (
y
....., and ( ), and independent variable
9
differential equations.
y y
( )n= ( )
1 2
y y
( )n= – ( ) + sin
2 1
Set Up
1. From the Main Menu, enter the DIFF EQ Mode.
Execution
2. Press 4(SYS).
3. Enter the number of unknowns.
4. Enter the expression as shown below.
y
( ) Y1 (3(
1
y
( ) Y2 (3(
2
y
( ) Y9 (3(
9
5. Specify the initial value for
6. Press 5(SET)b(Param).
7. Specify the calculation range.
8. Specify the step size for
9. Press 5(SET)c(Output).
Select the variable you want to graph, and then select a list for storage of the
calculation results.
10. Make V-Window settings.
11. Press 6(CALC) to solve the system of first order equations for
5-1
System of First Order Differential Equations
x
. The example below shows a system of first order
x
y
)b)
n
y
)c)
n
y
)j)
n
x y y
, ( ) , (
0 0
1 2
h
.
) and so on, if necessary.
0
y y
), ( ),
1 2
y y
, , and so on.
1 2