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Lecture 6 Part 1: Applications of Differential Equations - undamped oscillators

Here we look at how the the same (or a very similar) differential equation applies to several different engineering problems. We consider cantilevers, pendulums and a floating buoy.

From  David Ingram on July 10th, 2020 0 likes 218 plays 0  

Lecture 5 Part 3: Oscillators

Here we look at some more general oscillators and their phase portraits and consider how plotting vector plots can be useful for understanding autonomous systems.

From  David Ingram on July 10th, 2020 0 likes 233 plays 0  

Lecture 4 Part 4: Methods for real engineering problems

In the last part of the lecture we look at real numerical methods that can be used for real engineering problems. Looking briefly at Runge-Kutta methods and an application modelling methane-air…

From  David Ingram on July 6th, 2020 0 likes 4 plays 0  

Lecture 3 Part 3: But there's no solution...

What happens when the method in the first part of the lecture fails. We look at why and find a way of dealing with the problem.

From  David Ingram on July 6th, 2020 0 likes 4 plays 0  

Lecture 3 Part 1: Solution of inhomogeneous, linear, differential equations.

In this lecture we extend the ideas in lecture 2 to allow us to solve inhomogeneous equations.

From  David Ingram on July 6th, 2020 0 likes 5 plays 0  

Representing Music with Fourier Coefficients

Representing Music with Fourier Coefficients

From  Nigel Goddard on September 17th, 2016 1 likes 1,734 plays 0