Texas Instruments TI-89 사용자 설명서

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Differential Equation Graphing
 432
Example
Example
Example
Example
1. Press 
3 and set 
Graph=DIFF EQUATIONS
.
2. Define a system of equations for the 3rd-
order equation. 
Rewrite the equation and make the 
necessary substitutions.
y''' + 2y'' + 2y' + y = 
sin(x)
y''' = sin(x) 
N
 2y'' 
N
 2y' 
N
 y
y''' = sin(t) 
N
 2y'' 
N
 2y' 
N
 y
y''' = sin(t) 
N
 2y3 
N
 2y2 
N
 y1
y3' = sin(t) 
N
 2y3 
N
 2y2 
N
 y1
3. In the Y= Editor (
8 #), enter the 
system of equations.
4. Enter the initial conditions: 
yi1=0
yi2=1
, and 
yi3=1
Note:
 
t0
 is the time at which the initial 
conditions occur. By default, 
t0=0
.
5. Be sure that only 
y1'
 is selected. Use 
† 
to deselect any other equations.
Important: The 
solution to the y1' 
equation is the 
solution to the 3rd-
order equation.