Euler Method with 100 Points: Numerical ODE Solving via Spreadsheet

This GeoGebra example demonstrates the Euler method for numerically solving first-order ordinary differential equations, using 100 discrete points to approximate the solution curve. It covers core concepts of numerical analysis, slope fields, iterative approximation, and numerical integration. The construction uses Textfield inputs for the function f, initial point, and step size; SolveODE to compute the exact solution when available; SlopeField to visualize the direction field; and a spreadsheet with objects A1–A25 to generate and display the 100 Euler iterations. This is ideal for university-level calculus or numerical methods courses, as well as advanced high school math, helping learners understand how step size affects accuracy and how spreadsheets facilitate batch computations.