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INI File  |  1995-08-07  |  474b  |  22 lines
  1. [saved-setup]
  2. [labels]
  3. title=Second Order Differential Equations for Simple Harmonic Motion
  4.  
  5. [grid]
  6. left=-7
  7. right=7
  8. top=auto
  9. bottom=auto
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  11. [options]
  12. detail=dots
  13. axes=1808
  14. labels=on
  15.  
  16. [equations]
  17. dx + y = 0 ; dy = x {0,1, 1}  ' perfect SHM using ODE system (dx = d^2y/dt^2)
  18. d2x + dx + x = 0 {0,1,0}  ' critically damped
  19. d2x + 1.5dx + x = 0 {0,1,0} ' overdamped
  20. d2x + 1/2dx + x = 0 {0,1,0} ' underdamped
  21. d2x + x = 0 {0,1,0} ' perfect simple harmonic motion
  22.