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MA 26600
Ordinary Differential Equations
Summer 2016
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Lesson 1 1.1 Direction Fields
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Lesson 2 1.2 & 1.3 Solutions and Classification
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Lesson 3 2.1 Integrating Factors
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Lesson 4 2.2 Separable and Homogeneous Equations
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Lesson 5 2.3 Mathematical Modeling
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Lesson 6 2.4 Existence and Uniqueness, Bernoulli Equations
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Lesson 7 2.5 Autonomous Equations
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Lesson 8 2.6 Exact Equations
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Lesson 9 2.7 Euler's Method
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Lesson 10 3.1 The Characteristic Equation
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Lesson 11 3.2 The Theory of Linear Equations and the Wronskian
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Lesson 12 3.3 Complex Roots of the Characteristic Equation
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Lesson 13 3.4 Repeated Roots and Reduction of Order
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Lesson 14 3.5 Nonhomogeneous equations, Method of Undetermined Coefficients
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Lesson 15 3.6 Variation of Parameters
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Lesson 16 3.7 Mass-Spring Systems
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Lesson 17 3.8 Forced Vibrations
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Lesson 18 4.1 & 4.2 nth Order Linear Equations
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Lesson 19 4.3 Method of Undetermined Coefficients for nth Order Equations
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Lesson 20 6.1 Piecewise Continuous Functions and the Laplace Transform
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Lesson 21 6.2 Solving IVPs with the Laplace Transform
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Lesson 22 6.3 Step (Heaviside) Functions
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Lesson 23 6.4 IVPs with Piecewise-Defined Forcing Functions
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Lesson 24 6.5 The Dirac \( \delta\) (Unit Impulse) Function
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Lesson 25 6.6 Convolution Integrals
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Lesson 26 7.1 & 7.2 Systems of Differential Equations, Matrices
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Lesson 27 7.3 & 7.4 Eigenvalues/vectors, Theory of Linear Systems
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Lesson 28 7.5 Solving Systems with Distinct Real Eigenvalues, Intro to Phase Portraits
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Lesson 29 7.6 Complex Conjugate Eigenvalues
Video |
Notes Unavailable
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Lesson 30 7.8 Repeated Real Eigenvalues
Video |
Notes Unavailable
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Lesson 31 7.9 Method of Undetermined Coefficients for Systems
Video |
Notes Unavailable