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Slope Field Plotter by Dr Adrian Jannetta

Slope Field Plotter by Dr Adrian Jannetta
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2013-06-30 16:08
FunctionCalculusDerivative
This example plots a direction field for a specified differential equation and displays particular solutions. It demonstrates the concept of direction fields and differential equations. Commands used include Textfield, SlopeField, SolveODE, etc. Suitable for calculus courses.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. Textfield(x_{min}) → inputBox2
  3. Textfield(x_{max}) → inputBox3
  4. Textfield(y_{min}) → inputBox4
  5. Textfield(y_{max}) → inputBox5
  6. SlopeField(f, n, L, x_{min}, y_{min}, x_{max}, y_{max}) → slopefield1
  7. Textfield(delta) → inputBox6
  8. SolveODE(f, x(A), y(A), x_{max}, delta) → numericalIntegral1
  9. SolveODE(f, x(A), y(A), (-x_{max}), delta) → numericalIntegral2
  10. SolveODE(f, x(B), y(B), x_{max}, delta) → numericalIntegral3
  11. SolveODE(f, x(B), y(B), x_{min}, delta) → numericalIntegral4
  12. SolveODE(f, x(C), y(C), x_{max}, delta) → numericalIntegral5
  13. SolveODE(f, x(C), y(C), x_{min}, delta) → numericalIntegral6
  14. SolveODE(f, x(D), y(D), x_{max}, delta) → numericalIntegral7
  15. SolveODE(f, x(D), y(D), x_{min}, delta) → numericalIntegral8

AI Drawing Prompt Reference

Plot a direction field for a given differential equation and display particular solutions. Start by inputting the equation and coordinate range to generate the direction field. Then, based on initial conditions, draw several solution curves passing through different points to illustrate how solutions evolve over time.
The prompt above was compiled from the original drawing commands and is for reference only.