Introduction
What this guide covers
A comprehensive and mathematically rigorous analysis of the classical and modern theory of differential equations. From the analytical foundation, existence and uniqueness of Picard-Lindelöf, to geometric, qualitative, numerical methods and their application in physical, biological and engineering modeling.
Overview
Topics covered
- Introduction
- Differential Equations: Fundamental Concepts and Resolution Methods
- Historiography and Fundamentals of Differential Equations
- Historical Genesis and Impact on Natural Philosophy
- Rigorous Classification of Differential Equations
- 1. Type (EDO vs. EDP)
Related concepts
Main connections
Compatible notation
Mathematical sample in LaTeX
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F(x, y, y', y'', \dots, y^{(n)}) = 0