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Flow charts for differential equation step-by-step solver

Nasser M. Abbasi

December 9, 2022   Compiled on December 9, 2022 at 2:06pm

Contents

 1 Introduction
 2 Main flow chart
 3 First order flow charts
  3.1 Linear in \(y'\) first order flow chart
  3.2 Not linear in \(y'\) first order flow chart
 4 Second order flow charts
 5 Higher order ode flow chart

1 Introduction

This document gives the flow charts that my differential equation step-by-step solver implements. Work in progress. Not complete.

2 Main flow chart

pict
Figure 1: Main flow chart for solving an ode

3 First order flow charts

3.1 Linear in \(y'\) first order flow chart

pict
Figure 2: Main flow chart for solving first order linear ode

3.2 Not linear in \(y'\) first order flow chart

pict
Figure 3: Main flow chart for solving first order linear ode

4 Second order flow charts

5 Higher order ode flow chart