Mathematical Foundations · Differential Equations

Higher Order Ordinary Differential Equations

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Mathematical Analysis & Theoretical Mechanics

Overview

Topics covered

  • Introduction
  • Fundamentals and Theorems of Existence and Uniqueness
  • Initial Value Problems (PVI)
  • Securities Problems at the Border (PVF)
  • Linear Differential Equations: General Theory
  • Linear Independence and the Wronskian

Related concepts

Main connections

  • Calculus & differentiation
  • Linear algebra & matrices
  • Conditional probability & independence
  • Supervised machine learning

Compatible notation

Mathematical sample in LaTeX

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

F(x,y,y',y'',…,y(n))=0
View LaTeX sourceF\big(x, y, y', y'', \dots, y^{(n)}\big) = 0