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Slope Field Generator

Slope Field Generator
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2019-11-18 20:07
VectorCalculusDerivativeIntegralGraphing
This example demonstrates how to plot a vector field and its solution curves. It involves core calculus concepts like vector fields, solution curves, derivatives, and integrals. The construction uses GeoGebra commands/objects such as Sequence, Join, Length, Textfield, and Vector. Suitable for university-level calculus and differential equations courses.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(xStart + (i * xStep), yStart + (j * yStep)), i, 0, VectorDensity], j, 0, VectorDensity) → GridPts1
  2. Join(GridPts1) → GridPoints
  3. Length(GridPoints) → NumPoints
  4. Textfield() → DxField
  5. Textfield() → DyField
  6. Textfield() → Pfield
  7. Vector(A, A + (VectorScale * (Dx(A), Dy(A)))) → VecA2
  8. Sequence(Vector[Element[GridPoints, k], Element[GridPoints, k] + (VectorScale * (Dx(Element[GridPoints, k]), Dy(Element[GridPoints, k])))], k, 1, NumPoints) → GridVecs2