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Ordinary differential equation
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851	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 4: General Solutions, the Aging Spring Equation Given any second-order linear differential equation, with non-constant coefficients, there exists a general solution, in ter Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2010-01-20 09:54:56 Differential equations Algebra Recurrence relation Theory of computation Taylor series Bessel function Linear differential equation Ordinary differential equation Method of undetermined coefficients Mathematical analysis Mathematics Orthogonal polynomials
852	M242 - DIFFERENTIAL EQUATIONS NOTES Fall 2008 Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2008-09-07 13:19:16 Mathematics Partial differential equation Ordinary differential equation Slope field Linear differential equation Nonlinear system Homogeneous differential equation Integro-differential equation Calculus Differential equations Mathematical analysis
853	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 11: Sturm-Liouville Boundary-Value Problems When solving partial differential equations it will often be necessary to Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2008-10-08 09:14:44 Ordinary differential equations Operator theory Linear algebra Spectral theory Differential equations Sturm–Liouville theory Partial differential equation Eigenvalues and eigenvectors Eigenfunction Algebra Mathematics Calculus
854	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 13: Solution of the Heat Equation by Separation of Variables In the previous lecture we derived the one-dimensional heat equation for Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-07-25 17:44:14 Partial differential equations Operator theory Spectral theory Differential equations Heat equation Sturm–Liouville theory Separation of variables Fourier series Wave equation Calculus Mathematical analysis Ordinary differential equations
855	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 14: Other Boundary Conditions for the Heat Equation We have seen that the one-dimensional heat equation can be used to model Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-11-07 11:51:33 Ordinary differential equations Analytic functions Differential equations Operator theory Spectral theory Heat equation Sturm–Liouville theory Partial differential equation Separation of variables Mathematical analysis Calculus Mathematics
856	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 15: The One-dimensional Wave Equation, Derivation and Solution Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-08-03 13:54:38 Wave equation Heat equation Partial differential equation Sturm–Liouville theory Separation of variables Trigonometric functions Differential equation Method of undetermined coefficients Spectral theory of ordinary differential equations Calculus Mathematical analysis Ordinary differential equations
857	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 17: Numerical Solution of Partial Differential Equations If it is not possible to solve a partial differential equation by separation Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-11-02 13:17:58 Differential calculus Differential equations Ordinary differential equations Wave mechanics Heat equation Partial differential equation Wave equation Separation of variables Derivative Mathematical analysis Calculus Mathematics
858	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 20: The Wave Equation on a Rectangle We will assume that a flexible membrane is stretched on a rectangle, under tension, and is kept fastened around the boundary. If it is Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-11-22 23:25:06 Ordinary differential equations Operator theory Spectral theory Multivariable calculus Sturm–Liouville theory Multiple integral Separation of variables Wave equation Sine Calculus Mathematical analysis Mathematics
859	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 16: More on the Wave Equation The Damped Wave Equation Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2009-11-02 13:00:56 Trigonometry Ordinary differential equations Operator theory Spectral theory Fourier series Joseph Fourier Sturm–Liouville theory Wave equation Heat equation Mathematical analysis Calculus Mathematics
860	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 1: Mass-spring Equation, Complex Numbers In M242 you were shown how the ordinary differential equation Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2010-09-01 10:35:30 Polar coordinate system Complex number Mathematical analysis Damping Geometry Differential equations Trigonometric functions Linear differential equation Ordinary differential equations Mathematics Trigonometry

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