Uploaded July 2022 | Updated September 2026, 2 weeks ago
University of Oxford mathematician Dr Tom Crawford explains how to solve PDEs using the method of "separable solutions". Links to worksheets and app download below.
Test yourself with some exercises on separable solutions with this FREE worksheet in Maple Learn: learn.maplesoft.com/doc/i72vej3p2d/trm-separable-solutions
Investigate separable solutions to the Heat Equation with this FREE worksheet in Maple Learn: learn.maplesoft.com/d/PQOSOULGKPFHEREGBKJSJRHRKPCPJPHLGRCIFSHOOKFUERPPEGLUDILQNTLIAUJUBTJMLGKPMJJRHMJFIHKJKNLIKOLHNKFNONKU
Check your working using the Maple Calculator App – available for free on Google Play and the App Store.
Android: play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en
Apple: apps.apple.com/us/app/maple-companion/id1466659419
The technique of solving PDEs using separable solutions is introduced and then used to solve two examples. In both cases the technique of "separation of variables" is required.
Other videos in the Oxford Calculus series can be found here: youtube.com/playlist?list=PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S
Finding critical points for functions of several variables: youtu.be/Leomuu82-u8
Classifying critical points using the method of the discriminant: youtube.com/watch?v=5M_ts8Q2LEM
Partial differentiation explained: youtu.be/RVwcBGzQcT8
Second order linear differential equations: youtu.be/F54yhRB9qDI
Integrating factors explained: youtube.com/watch?v=ftqKuOfOX3E
Solving simple PDEs: youtu.be/uztjxrGY6Jw
Jacobians explained: youtube.com/watch?v=YqMelRryG8U
Separation of variables integration technique explained: youtu.be/zk41c0vs9XQ
Solving homogeneous first order differential equations: youtu.be/uqvqjbAcbL8
Taylor’s Theorem explained with examples and derivation: youtube.com/watch?v=DULzJmUHN5g
Heat Equation derivation: youtu.be/rz3cdzZXQms
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: seh.ox.ac.uk/people/tom-crawford
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here:
beautifulequations.net/collections/tom-rocks-maths
University of Oxford mathematician Dr Tom Crawford explains how to solve PDEs using the method of "separable solutions". Links to worksheets and app download below.
Test yourself with some exercises on separable solutions with this FREE worksheet in Maple Learn: learn.maplesoft.com/doc/i72vej3p2d/trm-separable-solutions
Investigate separable solutions to the Heat Equation with this FREE worksheet in Maple Learn: learn.maplesoft.com/d/PQOSOULGKPFHEREGBKJSJRHRKPCPJPHLGRCIFSHOOKFUERPPEGLUDILQNTLIAUJUBTJMLGKPMJJRHMJFIHKJKNLIKOLHNKFNONKU
Check your working using the Maple Calculator App – available for free on Google Play and the App Store.
Android: play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en
Apple: apps.apple.com/us/app/maple-companion/id1466659419
The technique of solving PDEs using separable solutions is introduced and then used to solve two examples. In both cases the technique of "separation of variables" is required.
Other videos in the Oxford Calculus series can be found here: youtube.com/playlist?list=PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S
Finding critical points for functions of several variables: youtu.be/Leomuu82-u8
Classifying critical points using the method of the discriminant: youtube.com/watch?v=5M_ts8Q2LEM
Partial differentiation explained: youtu.be/RVwcBGzQcT8
Second order linear differential equations: youtu.be/F54yhRB9qDI
Integrating factors explained: youtube.com/watch?v=ftqKuOfOX3E
Solving simple PDEs: youtu.be/uztjxrGY6Jw
Jacobians explained: youtube.com/watch?v=YqMelRryG8U
Separation of variables integration technique explained: youtu.be/zk41c0vs9XQ
Solving homogeneous first order differential equations: youtu.be/uqvqjbAcbL8
Taylor’s Theorem explained with examples and derivation: youtube.com/watch?v=DULzJmUHN5g
Heat Equation derivation: youtu.be/rz3cdzZXQms
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: seh.ox.ac.uk/people/tom-crawford
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here:
beautifulequations.net/collections/tom-rocks-maths
