Logistic Differential Equation Demo

This example demonstrates the numerical solution and graph of the Logistic Differential Equation, illustrating the dynamic process of population growth with constraints. Key mathematical concepts include differential equations, exponential and logarithmic functions, tangent functions, percentage calculations, and centroid or barycenter. The construction utilizes GeoGebra commands and objects like SelectedIndex, Element, and Textfield for button control, list element selection, and interactive text input boxes, along with dynamic parameters K, r, and N_0. Suitable for high school and above students to understand the application of differential equations in fields like ecology and economics, and the impact of parameter changes on the model.