Oxford Calculus: Integrating Factors Explained

University of Oxford Mathematician Dr Tom Crawford explains how to use integrating factors to solve first order linear differential equations.

Practice the integrating factor technique for yourself with this free worksheet in Maple Learn: https://learn.maplesoft.com/doc/bautg...

We first look at the homogeneous case to motivate the formula for the integrating factor, which is then derived in full for a general first order ODE. The technique is then used to solve an example question, with and without initial conditions.

Check your working using the Maple Calculator App – available for free on Google Play and the App Store.

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Apple: https://apps.apple.com/us/app/maple-c...

Other videos in the Oxford Calculus series can be found here:    • Oxford Calculus  

Finding critical points for functions of several variables:    • Oxford Calculus: Finding Critical Points f...  

Classifying critical points using the method of the discriminant:    • Oxford Calculus: Classifying 2D Critical P...  

Partial differentiation explained:    • Oxford Calculus: Partial Differentiation E...  

Second order linear differential equations:    • Oxford Mathematics Open Day 2021: Differen...  

Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel:    / @maplesoft  

Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-c...

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