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32. More partial differential equations
- College aantekeningen • 5 pagina's • 2019
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Frobenius ODEs, and looking at special cases. Using the indicial equation to find what type of solution the Frobenius ODEs. Edge Waves redux finding a power series solution.
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33. More partial differential equations
- College aantekeningen • 6 pagina's • 2019
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Looking at the wave equation and solving using polar coordinates for a wave propagating on the surface of a circular pool. Special case with no angular dependence and finding solutions.
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24. PDEs and waves
- College aantekeningen • 5 pagina's • 2019
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D'Alembert's solution and derivation of the form of solutions. Classification of PDEs with an example using the wave equation.
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34. More partial differential equations
- College aantekeningen • 6 pagina's • 2019
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Further Fourier Series looking at a Maclaurin Series, inner product, weight function, orthogonal and norm. These have definitions equations and examples. Define an orthogonal set and examples of these. Legrendre Polynomials, Bessel functions and generalised fourier series. Definition for completeness of functions. Complex Fourier series and example.
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5. Second and higher order ODEs
- College aantekeningen • 5 pagina's • 2019
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Example of a separable solution. Existence and Uniqueness Theorem (no proof) with two example questions. Showing how to work out the integrating factor to make exact ODEs exact.
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4. Second and higher order ODEs
- College aantekeningen • 4 pagina's • 2019
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Solving Linear ODEs: definition of linear/nonlinear and homogeneous/nonhomogeneous. General solution to first order ODE with integrating factor. Example of a first order linear IVP. Explanation to why the General solution formula works. Example of Hormone levels and their rates of changes. Using Matlab to solve ODEs.
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3. First order ordinary differential equations & Second and higher order ODEs
- College aantekeningen • 2 pagina's • 2019
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How to make ODEs exact with a integration factor, finding a particular solution for Exact ODEs. Show why integrating factor works. Example finding an integrating factor, finding an exact solution and graphing the solution in Matlab.
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2. First order ordinary differential equations
- College aantekeningen • 3 pagina's • 2019
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Example of solving the time it takes for water to flow out of a tank and its Matlab code. Solving Exact ODEs with example.
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1. First order ordinary differential equations
- College aantekeningen • 3 pagina's • 2019
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Looking at the steps to Modelling Ordinary Differential Equations and the different types of forms: first order ODEs in explicit form, implicit form. How to solve Separable ODEs using a Chauvet Cave example. Lastly looking at the Concepts of a particular solution and a general solution.
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Exam Revision
- Samenvatting • 14 pagina's • 2019
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35. Overview of Course
Vraag jij je af waarom zoveel studenten in mooie kleren lopen, geld genoeg hebben en genieten van tonnen aan vrije tijd? Nou, ze verkopen hun samenvattingen op Stuvia! Stel je eens voor dat jouw samenvatting iedere dag weer wordt verkocht. Ontdek alles over verdienen op Stuvia