Casio ALGEBRA FX2.0 series - Manual (Page 18)

5. System of First Order Differential Equations
A system of first order differential equations, for example, has dependent variables ( y
1
), ( y
2
),
....., and ( y
9
), and independent variable x . The example below shows a system of first order
differential equations.
( y
1
) n= ( y
2
)
( y
2
)
n= – ( y
1
) + sin x
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
1
) → Y1 (3( y
n
)b)
( y
2
)
→ Y2 (3( y
n )c)
( y
9
) → Y9 (3( y
n
)j)
5. Specify the initial value for x
0 , ( y
1
) 0 , ( y
2
) 0 and so on, if necessary.
6. Press 5(SET)b(Param).
7. Specify the calculation range.
8. Specify the step size for h .
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 y
1
, y
2
, and so on.
…
5-1
System of First Order Differential Equations