Numerical ODE Solver

Numerical ODE Solver
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2018-05-24 23:44
This example demonstrates how to solve ordinary differential equations numerically and visualize the solution trajectories through a graphical interface. Key mathematical concepts involved include ordinary differential equations, numerical methods, and slope fields. The construction utilizes commands like SlopeField for generating slope fields, Textfield for displaying text, SolveODE for solving differential equations, and InputBox1 and InputBox2 for accepting user inputs of initial conditions. Suitable for high school and above students to learn and understand numerical methods for solving differential equations and their applications.

GeoGebra Commands & Parameters

  1. SlopeField(F) → slopefield1
  2. Textfield(F) → InputBox1
  3. Textfield(A) → InputBox2
  4. SolveODE(F, x(A), y(A), x(A) + 15, 0.01) → numericalIntegral1
  5. SolveODE(F, x(A), y(A), x(A) - 15, 0.01) → numericalIntegral2