Systems of linear differential equations · Theory and methods · Introduction

Introduction

What this guide covers

Introduction Differential equations module

Overview

Topics covered

Introduction
Systems of Linear Differential Equations
General introduction to systems of differential equations
First-order linear systems: Matrix notation
Theories of existence and uniqueness for linear systems
The Wronskian theory for systems of dimension

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

\begin{aligned} x_1'(t) &= F_1(t, x_1, x_2, \dots, x_n), \\ x_2'(t) &= F_2(t, x_1, x_2, \dots, x_n), \\ &\vdots \\ x_n'(t) &= F_n(t, x_1, x_2, \dots, x_n), \end{aligned}

View LaTeX source

\begin{aligned}
      x_1'(t) &= F_1(t, x_1, x_2, \dots, x_n), \\
      x_2'(t) &= F_2(t, x_1, x_2, \dots, x_n), \\
      &\vdots \\
      x_n'(t) &= F_n(t, x_1, x_2, \dots, x_n),
      \end{aligned}