Lesson 20

Part II (Introduction to Differential Equations, continued)

In this part, you will learn how to graph a 2nd order differential equation and how to change view window settings.

1. Graphing a Phase Field for a 2nd Order Differential Equation

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2. Graphing a Solution Curve through a Point

3. Exploring the View Window

Part II


Practice Exercises

  1. Please begin by opening the DiffEqGraph application.
  2. Click the Graph tab and select Edit/Clear All.
  3. Click the IC tab and select Edit/Clear All.
  4. Click the DiffEq tab and select Edit/Clear All.
  5. Change to the 2nd (Phase Plane) type.
  6. Following x’, input y-x and press EXE.
  7. Following y’, input -2x and press EXE.
  8. Display the graph. Zoom until you like the graph.
  9. With your equation and graph showing, get a screen capture. Paste it into your Lesson20 document (under a title of PART II).
  10. Select Analysis/Modify to activate the draw a solution curve button.
  11. Click in the graph window to draw a solution curve.
  12. With your equation and graph showing, get a screen capture. Add two blank spaces following the first screen capture and then paste this one.
  13. Click the draw a solution curve button ().
  14. Click in the graph window to draw a solution curve again.
  15. Resize the graph window.
  16. With your graph showing, get a screen capture. Add two blank spaces following the last screen capture and then paste this one.
  17. Please clear the DiffEq page, IC page and the Graphs page. Each needs to be done separately.