Differential Equations Of The Nth Order - Casio Differential Equation Software Manual

4. Differential Equations of the Nth Order

You can solve differential equations of the first through ninth order. The number of initial
values required to solve the differential equation depends on its order.
• Enter dependent variables
y .................... a-(Y)
n ................... 3(
y
y ................... 3(
n ) ......... 3(
y y
(3) (=
y ................. 3(
(8)
y (9) ................. 3(
k Differential Equation of the Fourth Order
The following example shows how to solve a differential equation of the fourth order.
y f x y
(4) = ( , , ...... ,
Set Up
1. From the Main Menu, enter the DIFF EQ Mode.
Execution
2. Press 3(N-th).
3. Press 3( n
)e to select a differential equation of the fourth order.
y (4)
4. Specify .
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 differential equation.
4-1
Differential Equations of the Nth Order
n,
y y y y
(3)
, , , .....,
y
)b(Y1)
(n)
y
)c(Y2)
(n)
y
)d(Y3)
(n)
y
)i(Y8)
(n)
y
)j(Y9)
(n)
y
(3) )
x y y y
, , ' ,
0 0 0
h
.
y
(9)
as follows.
y (3)
" , and .
0 0