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Slope Field Analysis with Slider

Slope Field Analysis with Slider
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2014-09-13 22:00
FunctionCalculusSlider Animation
In collections Differential Equations
This example demonstrates a slope field with a slider to adjust the Xmax value. Key mathematical concepts include the numerical solution of differential equations. The construction uses commands like SlopeField and SolveODE. Suitable for high school and above students learning about slope fields in calculus.

GeoGebra Commands & Parameters

  1. Textfield(f) → y'
  2. SlopeField(f, 30, 0.5, x_{min}, y_{min}, x_{max}, y_{max}) → sf
  3. SolveODE(f, x(B), y(B), x_{max}, 0.01) → numericalIntegral1
  4. SolveODE(f, x(B), y(B), x_{max}, 0.01) → slB1
  5. SolveODE(f, x(B), y(B), x_{min}, 0.01) → slB2
  6. SolveODE(f, x(A), y(A), x_{min}, 0.01) → slA1
  7. SolveODE(f, x(A), y(A), x_{max}, 0.01) → slA2