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Differential Equation Graphing 432
Example
ExampleExample
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.