Numerical Solutions to Differential Equations Interactive Demo

①This GeoGebra example demonstrates the process of numerically solving differential equations through an interactive interface, allowing users to input initial values, step size, and the function expression to observe the generation and variation of numerical solution sequences. ②Core mathematical concepts include ordinary differential equations, numerical approximation methods such as Euler's method or Runge-Kutta, initial value problems, and the influence of step size on accuracy. ③Construction highlights: from the summary, it uses Textfield, InputBox, multiple point objects (A1 to A17, B1 to B17), and variables y0, f, h, with sliders or input boxes to control parameters, dynamically generating point sequences and possibly plotting polylines or curves. ④Suitable for university-level numerical analysis or ODE courses, or advanced high school math extensions, to understand the difference between analytical and numerical solutions, explore step-size convergence, and serve as a classroom demonstration or self-study tool.