Cover image of Differential Equations, Spring 2006

Differential Equations, Spring 2006

Differential Equations, Spring 2006

Ranked #1

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Lecture 21: Convolution formula: proof, connection with Laplace transform, application to physical problems

Lecture 21: Convolution formula: proof, connection with Laplace transform, application to physical problems

29 Jun 2015

44mins

Ranked #2

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Lecture 26: Continuation: repeated real eigenvalues, complex eigenvalues

Lecture 26: Continuation: repeated real eigenvalues, complex eigenvalues

29 Jun 2015

46mins

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Ranked #3

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Lecture 25: Homogeneous linear systems with constant coefficients: solution via matrix eigenvalues (real and distinct case)

Lecture 25: Homogeneous linear systems with constant coefficients: solution via matrix eigenvalues (real and distinct case)

29 Jun 2015

49mins

Ranked #4

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Lecture 24: Introduction to first-order systems of ODE's; solution by elimination, geometric interpretation of a system

Lecture 24: Introduction to first-order systems of ODE's; solution by elimination, geometric interpretation of a system

29 Jun 2015

47mins

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Ranked #5

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Lecture 27: Sketching solutions of 2x2 homogeneous linear system with constant coefficients

Lecture 27: Sketching solutions of 2x2 homogeneous linear system with constant coefficients

29 Jun 2015

50mins

Ranked #6

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Lecture 30: Decoupling linear systems with constant coefficients

Lecture 30: Decoupling linear systems with constant coefficients

29 Jun 2015

47mins

Ranked #7

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Lecture 20: Derivative formulas; using the Laplace transform to solve linear ODE's

Lecture 20: Derivative formulas; using the Laplace transform to solve linear ODE's

29 Jun 2015

51mins

Ranked #8

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Lecture 29: Matrix exponentials; application to solving systems

Lecture 29: Matrix exponentials; application to solving systems

29 Jun 2015

48mins

Ranked #9

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Lecture 31: Non-linear autonomous systems: finding the critical points and sketching trajectories; the non-linear pendulum

Lecture 31: Non-linear autonomous systems: finding the critical points and sketching trajectories; the non-linear pendulum

29 Jun 2015

47mins

Ranked #10

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Lecture 19: Introduction to the Laplace transform; basic formulas

Lecture 19: Introduction to the Laplace transform; basic formulas

29 Jun 2015

47mins

Ranked #11

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Lecture 22: Using Laplace transform to solve ODE's with discontinuous inputs

Lecture 22: Using Laplace transform to solve ODE's with discontinuous inputs

29 Jun 2015

44mins

Ranked #12

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Lecture 32: Limit cycles: existence and non-existence criteria

Lecture 32: Limit cycles: existence and non-existence criteria

29 Jun 2015

45mins

Ranked #13

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Lecture 17: Finding particular solutions via Fourier series; resonant terms;hearing musical sounds

Lecture 17: Finding particular solutions via Fourier series; resonant terms;hearing musical sounds

29 Jun 2015

45mins

Ranked #14

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Lecture 16: Continuation: more general periods; even and odd functions; periodic extension

Lecture 16: Continuation: more general periods; even and odd functions; periodic extension

29 Jun 2015

49mins

Ranked #15

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Lecture 15: Introduction to Fourier series; basic formulas for period 2(pi)

Lecture 15: Introduction to Fourier series; basic formulas for period 2(pi)

29 Jun 2015

49mins

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