DE-BOOK Fundamentals

$\newcommand\ds{\displaystyle} \newcommand\ddx{\frac{d}{dx}} \newcommand\os{\overset} \newcommand\us{\underset} \newcommand\ob{\overbrace} \newcommand\obt{\overbracket} \newcommand\ub{\underbrace} \newcommand\ubt{\underbracket} \newcommand\ul{\underline} \newcommand\laplacesym{\mathscr{L}} \newcommand\lap[1]{\laplacesym\left\{#1\right\}} \newcommand\ilap[1]{\laplacesym^{-1}\left\{#1\right\}} \newcommand\tikznode[3][] {\tikz[remember picture,baseline=(#2.base)] \node[minimum size=0pt,inner sep=0pt,#1](#2){#3}; } \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \newcommand{\sfrac}[2]{{#1}/{#2}} $

Part I Fundamentals

The field of applied mathematics has always relied on differential equations as a powerful tool for modeling and understanding dynamic systems. This introductory chapter aims to guide you through the fundamental concepts and classifications of these important mathematical ideas.

By the end of this chapter, you will have gained a comprehensive understanding of differential equations, their various categories, and the diverse forms that their solutions can take. This foundation will empower you to effectively use and apply differential equations for modeling and problem-solving.

PrevTop Next