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Non-linear System Demonstration

Non-linear System Demonstration
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2016-08-25 07:45
VectorFunctionCalculusDerivativeIntegral
In collections UQ-Applied Mathematical Analysis
This example demonstrates the solution and slope field of non-linear differential equations. It involves core mathematical concepts like differential equations, slope fields, and numerical integration. Construction highlights include using SolveODE for solving ODEs, Textfield for displaying text, SlopeField for plotting slope fields, and multiple InputBoxes for parameter control. Suitable for high school students and calculus education.

GeoGebra Commands & Parameters

  1. SolveODE(g, f, x(I), y(I), time, step) → numericalIntegral1
  2. Textfield(a) → InputBox1
  3. Textfield(b) → InputBox2
  4. Textfield(c) → InputBox3
  5. Textfield(d) → InputBox4
  6. Textfield(e) → InputBox5
  7. SlopeField(i, 25, 0.6) → slopefield1

AI Drawing Prompt Reference

Draw the solution and slope field of non-linear differential equations, showcasing core mathematical concepts like differential equations, slope fields, and numerical integration. Use multiple input boxes to control parameters, display parameter values with text fields, plot the slope field with a slope field tool, and solve and show the trajectories with numerical integration methods, suitable for high school students and calculus education.
The prompt above was compiled from the original drawing commands and is for reference only.