University of Oxford Mathematician Dr Tom Crawford explains how to solve some simple Partial Differential Equations (PDEs) by treating them like Ordinary Differential Equations (ODEs).

Practice solving some simple PDEs for yourself with this free worksheet in Maple Learn: https://learn.maplesoft.com/doc/tx0ua...

The first examples look at homogeneous first and second order PDEs where we integrate directly and replace 'integration constants' by 'integration functions'.

The third example looks at the inhomogeneous case and how we can use our methods for solving ODEs in the PDE context.

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

Android: https://play.google.com/store/apps/de...

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 Poi...  

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

Partial differentiation explained:    • Oxford Calculus: Partial Differentiat...  

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

Integrating factors explained:    • Oxford Calculus: Integrating Factors ...  

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...

For more maths content check out Tom's website https://tomrocksmaths.com/

You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
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