Differential Equation Graphing 431
Example of a 3rd-Order Equation
Example of a 3rd-Order EquationExample of a 3rd-Order Equation
Example of a 3rd-Order Equation
For the 3rd-order differential equation y'''+2y''+2y'+y = sin(x), write a system of equations
to enter in the Y= Editor. Then graph the solution as a function of time. Use initial
conditions
y(0) = 0, y'(0) = 1, and y''(0) = 1.
14. In the Window Editor, change
ymin and
ymax as shown to the right.
Note: When you enter 2-graph mode,
Window variables for the right side are set
to their defaults.
ymin=L2.
ymax=2.
15. Press 8% to display the Graph
screen for graph #2.
The left side shows the phase-plane orbit.
The right side shows the solution curve
and its derivative.
16. To return to a full screen of the original
graph, press 2 a to switch to the left
side. Then press 3 and change the
Split Screen setting.
Split Screen = FULL
y'
y
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