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Laplace transform Week 3 Example 2: System of differential equationsStep by step solution of a system of differential equations with the Laplace transform method
From Daniel Friedrich
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Exercise sheet PDE 1: Question 1 worked exampleWorked example showing the application of the separated solution and the d'Alembert methods to the 1D wave equation
From Daniel Friedrich
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91 plays
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Exercise sheet Fourier series 1: Question 1a worked exampleWorked example showing the calculation of the Fourier series of a periodic function
From Daniel Friedrich
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147 plays
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Exercise sheet Laplace transform 3: Question 1ii worked exampleSolution of a system of differential equations with the Laplace transform method.
From Daniel Friedrich
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Exercise sheet ODE 1: Question 1 worked exampleWorked solution for Question 1 from Exercise sheet ODE 1 from EM2A
From Daniel Friedrich
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546 plays
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Fourier series Week 3 Example 2: Harmonic oscillatorVideo discussing the harmonic oscillator. We use the Fourier series of a periodic forcing to find the particular solution of the differential equation describing the harmonic oscillator.
From Daniel Friedrich
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701 plays
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Fourier series Week 3 Example 1: Fourier series by differentiation or integrationThree examples showing the use of differentiation and integration to find Fourier series.
From Daniel Friedrich
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Fourier series Week 3 Part 2: Solve differential equations with Fourier seriesVideo showing how to solve differential equations with periodic forcing functions with the Fourier series.
From Daniel Friedrich
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625 plays
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Fourier series Week 3 Part 1: Differentiation and integration of Fourier seriesVideo showing how to use differentiation and integration to find the Fourier series of a function from known Fourier series.
From Daniel Friedrich
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Fourier series Week 2 Example 4: Square pulse through similarityThis video shows how we can use shape preserving transforms to calculate the Fourier series of the square pulse from the Fourier series of the square wave.
From Daniel Friedrich
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607 plays
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Fourier series Week 2 Example 3: Sawtooth function againThis example uses shape preserving transforms to calculate the Fourier series of a sawtooth function from the Fourier series of a sawtooth function with a different period.
From Daniel Friedrich
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729 plays
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Fourier series Week 2 Example 2: Full-range extension square functionExample calculating the full-range extension for the non-periodic square function.
From Daniel Friedrich
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913 plays
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Fourier series Week 2 Example 1: Sawtooth functionExample showing the calculation of the Fourier series of the sawtooth function.
From Daniel Friedrich
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895 plays
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Fourier series Week 2 Part 5: Similar functions and shapeThis video introduces shape preserving transformations and how these can be used to find the Fourier series from similar functions.
From Daniel Friedrich
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930 plays
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Fourier series Week 2 Part 4: Half-range odd extensionThis video discusses the half-range odd extension of non-periodic functions.
From Daniel Friedrich
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1,121 plays
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