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Differential Equations: Slope Field and Euler's Method

Differential Equations: Slope Field and Euler's Method
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2019-04-27 23:03
FunctionCalculusDerivative
This example demonstrates the slope field and Euler's method for approximating solution curves of differential equations. Key mathematical concepts include differential equations, slope fields, and Euler's method. GeoGebra commands used include SlopeField, IterationList, PolyLine, etc. Suitable for high school math education and students learning calculus.

GeoGebra Commands & Parameters

  1. SlopeField(f_{prime}, a04n, a03a, x(z03P1), y(z04P2), x(z04P2), y(z03P1)) → slopefield1
  2. Textfield(f_{prime}) → a01InputBox
  3. Textfield(f) → a13InputBox
  4. Textfield(numsteps) → a11InputBox
  5. IterationList(C + (a09step, (f_{prime}(x(C), y(C)) * a09step)), C, {z02A}, numsteps) → l1
  6. PolyLine(l1) → g
  7. Element(l1, Length[l1]) → B
  8. Textfield(z02A) → a07InputBox
  9. Textfield(a09step) → a10InputBox
  10. Textfield(c2) → z01InputBox
  11. Textfield(xend) → a08InputBox
  12. Locus(slopefield1, z02A) → numericalIntegral1