Ordinary Differential Equations Integrating Factor

Differential Equations INTEGRATING FACTOR METHOD Graham S McDonald A Tutorial Module for learning to solve 1st order linear differential equations q Table of contents q Begin Tutorial c 2004 g.s.mcdonald@salford.ac.uk *Table of contents 1. 2. 3. 4. 5. 6. Theory Exercises Answers Standard integrals Tips on using solutions Alternative notation Full worked solutions *Section 1: Theory 3 1. Theory Consider an ordinary differential equation (o.d.e.) that we wish to solve to find out how the variable y depends on the variable x. If the equation is first order then the highest derivative involved is