🌸 Dynamical Systems — Definition, Types, and Applications Introduction: Dynamical systems are mathematical models that describe how things change over time. Have you ever wondered how scientists predict the weather , study the spread of diseases , or analyze the motion of planets ? The answer often lies in dynamical systems — a mathematical way to describe how things change over time. In this blog and attached Presentation PDF , we’ll explore the definition, types ( continuous and discrete ), and real-world applications in mathematics , physics , biology , and engineering . 📘 Download the full Presentation PDF here 💡 What’s Inside This PDF Presentation? The attached PDF is designed to give you clear and well-structured notes. Inside, you will find: The basic definition and theory of dynamical systems The difference between continuous and discrete systems Key classifications: linear vs nonlinear, deterministic...

📐 Classification  of Second-Order Partial Differential Equations (PDEs) Hyperbolic, Parabolic & Elliptic — clear notes and a downloadable PDF by Math With Raabi 📘 Learn the classification of second-order Partial Differential Equations (PDEs) — Hyperbolic, Parabolic, and Elliptic types — with concise notes and a free PDF by Math With Raabi . Introduction Partial Differential Equations (PDEs) are a vital part of higher mathematics and play an important role in physics , engineering , and computer science . They provide mathematical models for many real-world problems such as heat conduction, wave propagation, and fluid flow . Among these, second-order partial differential equations are particularly important because their classification helps in choosing suitable solution methods and in understanding the qualitative behavio...