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MIT 18 03 - Graphing ODE Systems
School name Massachusetts Institute of Technology
Course 18 03- Differential Equations
Pages 19

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MIT OpenCourseWare http://ocw.mit.edu18.03 Differential Equations Spring 2010 For information about citing these materials or our Terms of Use, visit:

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MIT 18 03 - Graphing ODE Systems

School: Massachusetts Institute of Technology
Course: 18 03- Differential Equations
Pages: 19
Documents in this Course
Problem Set 2

Problem Set 2

3 pages

Vector fields and nonlinear systems

Vector fields and nonlinear systems

5 pages

Unit impulse and step responses

Unit impulse and step responses

5 pages

Problem Set 7: Part II Solutions

Problem Set 7: Part II Solutions

3 pages

LINEAR SYSTEMS

LINEAR SYSTEMS

5 pages

Study Notes

Study Notes

6 pages

Integration Review Exercises

Integration Review Exercises

2 pages

Complex numbers, complex exponentials

Complex numbers, complex exponentials

2 pages

Hour Exam I - 18.03

Hour Exam I - 18.03

7 pages

Final Examination -18.03

Final Examination -18.03

17 pages

Hour Exam III Solutions

Hour Exam III Solutions

2 pages

Notation and Language

Notation and Language

5 pages

The Wronskian

The Wronskian

4 pages

Problem Set #3

Problem Set #3

4 pages

Review Exercises – Exponentials and Log’s

Review Exercises – Exponentials and Log’s

2 pages

Modeling by first order linear ODEs

Modeling by first order linear ODEs

5 pages

The algebra of complex numbers

The algebra of complex numbers

5 pages

Supplementary Notes

Supplementary Notes

155 pages

Exam II

Exam II

7 pages

Dangers of linearization

Dangers of linearization

4 pages

Study Notes

Study Notes

5 pages

Nonlinear Systems

Nonlinear Systems

2 pages

Problem Set 5

Problem Set 5

3 pages

The nonlinear pendulum and phugoid oscillation

The nonlinear pendulum and phugoid oscillation

5 pages

RLC circuits

RLC circuits

3 pages

The Laplace transform and more general systems

The Laplace transform and more general systems

3 pages

Problem Set 8 - Part II Solutions

Problem Set 8 - Part II Solutions

4 pages

Problem Set #7

Problem Set #7

3 pages

Linear Systems

Linear Systems

7 pages

Problem Set #4

Problem Set #4

4 pages

Fourier series II

Fourier series II

5 pages

Lecture Notes

Lecture Notes

3 pages

Hour Exam II Solutions

Hour Exam II Solutions

2 pages

Operators and the exponential response formula

Operators and the exponential response formula

9 pages

Amplitude Response and The Pole Diagram

Amplitude Response and The Pole Diagram

3 pages

RLC circuits

RLC circuits

4 pages

Graphing Systems

Graphing Systems

6 pages

Lecture notes

Lecture notes

5 pages

Lecture Notes

Lecture Notes

6 pages

Frequency response

Frequency response

11 pages

Resonance and the exponential shift law

Resonance and the exponential shift law

6 pages

Problem Set 3

Problem Set 3

3 pages

Laplace Transform

Laplace Transform

5 pages

Hour Exam I Solutions

Hour Exam I Solutions

3 pages

Lecture Notes

Lecture Notes

6 pages

Complex Numbers

Complex Numbers

9 pages

Study Notes

Study Notes

2 pages

Undetermined coefficients

Undetermined coefficients

3 pages

Laplace Transform II

Laplace Transform II

7 pages

Study Guide

Study Guide

3 pages

Lecture notes

Lecture notes

5 pages

Lecture Notes

Lecture Notes

7 pages

Complex Numbers

Complex Numbers

8 pages

Natural frequency and damping ratio

Natural frequency and damping ratio

3 pages

The superposition of impulse response

The superposition of impulse response

6 pages

Impulse and step responses

Impulse and step responses

6 pages

Sinusoidal solutions

Sinusoidal solutions

8 pages

Lecture Notes

Lecture Notes

5 pages

Laplace transform technique

Laplace transform technique

6 pages

Linear Differential Operators

Linear Differential Operators

10 pages

Complex or repeated eigenvalues

Complex or repeated eigenvalues

5 pages

Eigenvalues and eigenvectors

Eigenvalues and eigenvectors

5 pages

Problem Set #2

Problem Set #2

4 pages

Problem Set #1

Problem Set #1

4 pages

Theory of Linear Systems

Theory of Linear Systems

5 pages

Laplace Transform

Laplace Transform

4 pages

Gibbs’ Phenomenon

Gibbs’ Phenomenon

2 pages

Problem Set 4

Problem Set 4

2 pages

First order linear equations

First order linear equations

6 pages

Practice Hour Exam I

Practice Hour Exam I

4 pages

Definite Integral Solutions

Definite Integral Solutions

3 pages

Exam 3

Exam 3

8 pages

Study Notes

Study Notes

4 pages

Forced oscillations

Forced oscillations

4 pages

Study Guide

Study Guide

3 pages

Study Notes

Study Notes

12 pages

Lecture Notes

Lecture Notes

4 pages

Lecture Notes

Lecture Notes

2 pages

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