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Euler's Method by Terry Lee Lindenmuth

Euler's Method by Terry Lee Lindenmuth
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2015-06-12 23:05
CalculusDerivativeGraphing
In collections Calculus C06_Differential Equations, Eulers Method
This example demonstrates the use of Euler's method, a numerical technique for approximating solutions to differential equations. It involves the concept of derivatives in calculus. By adjusting parameters, one can observe the impact of different step sizes on the solution. The example uses GeoGebra's slider animation and graphing commands. Suitable for high school math education and learning numerical solutions to differential equations.

GeoGebra Commands & Parameters

  1. Numeric A2(0.1)
  2. Numeric B2(0.0)
  3. Numeric C2(3.0)
  4. Numeric A4(0.0)
  5. A4 + 1
  6. A5 + 1
  7. A6 + 1
  8. A7 + 1
  9. A8 + 1
  10. A9 + 1
  11. A10 + 1
  12. A11 + 1
  13. A12 + 1
  14. A13 + 1
  15. A14 + 1
  16. A15 + 1
  17. A16 + 1
  18. A17 + 1
  19. A18 + 1
  20. A19 + 1
  21. A20 + 1
  22. A21 + 1
  23. A22 + 1
  24. A23 + 1
  25. B2
  26. B4 + $A$2
  27. B5 + $A$2
  28. B6 + $A$2
  29. B7 + $A$2
  30. B8 + $A$2
  31. B9 + $A$2
  32. B10 + $A$2
  33. B11 + $A$2
  34. B12 + $A$2
  35. B13 + $A$2
  36. B14 + $A$2
  37. B15 + $A$2
  38. B16 + $A$2
  39. B17 + $A$2
  40. B18 + $A$2
  41. B19 + $A$2
  42. B20 + $A$2
  43. B21 + $A$2
  44. B22 + $A$2
  45. B23 + $A$2
  46. C2
  47. C4 + ((($A$2 * (-6)) * B4) * C4^(2))
  48. C5 + ((($A$2 * (-6)) * B5) * C5^(2))
  49. C6 + ((($A$2 * (-6)) * B6) * C6^(2))
  50. C7 + ((($A$2 * (-6)) * B7) * C7^(2))
  51. C8 + ((($A$2 * (-6)) * B8) * C8^(2))
  52. C9 + ((($A$2 * (-6)) * B9) * C9^(2))
  53. C10 + ((($A$2 * (-6)) * B10) * C10^(2))
  54. C11 + ((($A$2 * (-6)) * B11) * C11^(2))
  55. C12 + ((($A$2 * (-6)) * B12) * C12^(2))
  56. C13 + ((($A$2 * (-6)) * B13) * C13^(2))
  57. C14 + ((($A$2 * (-6)) * B14) * C14^(2))
  58. C15 + ((($A$2 * (-6)) * B15) * C15^(2))
  59. C16 + ((($A$2 * (-6)) * B16) * C16^(2))
  60. C17 + ((($A$2 * (-6)) * B17) * C17^(2))