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Slope Fields of Differential Equations

Slope Fields of Differential Equations
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2016-03-06 05:46
VectorCalculusDerivative
In collections AP Calculus AB Applet Collection
This example demonstrates the slope fields of differential equations and their solutions. By observing the slope field, one can intuitively understand the behavior of the solutions to differential equations. Key mathematical concepts include differential equations and vectors. Commands used include SlopeField and SolveODE. Suitable for high school mathematics education and students learning differential equations.

GeoGebra Commands & Parameters

  1. Corner(4) → A
  2. Corner(1) → D
  3. Polygon(A, B, C, D) → Panel, PanelTop, PanelRight, PanelBottom, PanelLeft
  4. Textfield(dydx) → inpDYDX
  5. SlopeField(dydx, Density, VecLen, (-Size), (-Size), Size, Size) → slopefield1
  6. SolveODE(dydx, x(InitCond), y(InitCond), (-Size), -0.05) → solnneg
  7. SolveODE(dydx, x(InitCond), y(InitCond), Size, 0.05) → solnpos