Math 212: Section 2.4
Dierences between Linear and Nonlinear Equations
Section 2.4: Dierences between Linear and Nonlinear Equations
These notes reect material from our text, Elementary Dierential Equations and Boundary Value
Problems, 8/e, by William E.
Math 212: Section 4.3
Qualitative and Asymptotic Behaviour
Section 4.3: Qualitative and Asymptotic Behaviour
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper S
Math 212: Section 4.4
The Logistic Population Model
Section 4.4: The Logistic Population Model
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, N
Math 212: Section 3.5
Nonlinear First-Order Equations in Applications
Section 3.5: Nonlinear First-Order Equations in Applications
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by
Math 212: Section 4.2
Existence and Uniqueness
Section 4.2: Existence and Uniqueness
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
D
Math 212: Section 4.1
Construction of Local Solutions
Section 4.1: Construction of Local Solutions
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle Rive
Math 212: Section 3.3
Bernoulli and Riccati Equations
Section 3.3: Bernoulli and Riccati Equations
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle Rive
Math 212: Section 2.3
Generalized Solutions
Section 2.3: Generalized Solutions
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
Denitio
Math 212: Section 1.2
Four Introductory Models
Section 1.2: Four Introductory Models
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
F
Math 212: Section 3.1
Direction Fields and Numerical Approximation
Section 3.1: Direction Fields and Numerical Approximation
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prenti
Math 212: Section 3.4
Reduction of Order
Section 3.4: Reduction of Order
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
Concepts
Redu
Math 212: Section 1.1
What Are Dierential Equations?
Section 1.3: Fundamental Concepts and Terminology
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle
Math 212: Section 2.1
Methods of Solution
Section 2.1: Methods of Solution
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
Concepts
In
Math 212
Lab Project 1.1
Lab Project: The Hirsch-Smale Perspective on DEs
Purpose: The very inuential textbook Dierential Equations, Dynamical Systems, and Linear Algebra,
by Morris Hirsch and Stephen Smale, Academic Press, 1974, oered a compelling vision
Math 212: Section 3.2
Separable Equations
Section 3.2: Separable Equations
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River, NJ, 2002.
Concepts
Se
Math 212: Section 3.8
Forced Vibrations
Section 3.8: Forced Vibrations
These notes reect material from our text, Elementary Dierential Equations, 10/e, by William E.
Boyce and Richard C. DiPrima, published by John Wiley & Sons, Inc., 2012.
Concepts
Steady
Math 212: Section 1.2
Solutions of Some Dierential Equations
Section 1.2: Solutions of Some Dierential Equations
These notes reect material from our text, Elementary Dierential Equations and Boundary Value
Problems, Eighth Edition, by William E. Boyce and
Math 212: Section 2.7
Numerical Approximations; Eulers Method
Section 2.7: Numerical Approximations; Eulers Method
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Problems, 8/e, by William E. Boyce and Richard
Math 212: Section 1.4
Historical Remarks
Section 1.4: Historical Remarks
These notes reect material from our text, Elementary Dierential Equations and Boundary Value
Problems, Eighth Edition, by William E. Boyce and Richard C. DiPrima, published by John W
Math 212: Section 3.3
Complex Roots of the Characteristic Equation
Section 3.3: Complex Roots of the Characteristic Equation
These notes reect material from our text, Elementary Dierential Equations, 10/e, by William E.
Boyce and Richard C. DiPrima, publi
Math 212: Section 2.5
Autonomous Equations and Population Dynamics
Section 2.5: Autonomous Equations and Population Dynamics
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Problems, Eighth Edition, by William
Math 212: Section 1.2
Solutions of Some Dierential Equations
Section 1.2: Solutions of Some Dierential Equations
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Problems, Ninth Edition, by William E. Boyce and
Math 212: Section 2.3
Modeling with First Order Equations
Section 2.3: Modeling with First Order Equations
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Problems, Eighth Edition, by William E. Boyce and Richa
Math 212: Section 2.6
Exact Equations and Integrating Factors
Section 2.6: Exact Equations and Integrating Factors
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Problems, 8/e, by William E. Boyce and Richard
Math 212: Section 2.1
Linear Equations; Method of Integrating Factors
Section 2.1: Linear Equations; Method of Integrating Factors
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Problems, Eighth Edition, by Wi
Math 212: Section 1.1
Some Basic Mathematical Models; Direction Fields
Section 1.1: Some Basic Mathematical Models; Direction Fields
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Problems, 8/e, by William E.
Math 212: Section 1.3
Classication of Dierential Equations
Section 1.3: Classication of Dierential Equations
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Problems, Eighth Edition, by William E. Boyce and Ric
Math 212: Section 3.1
Homogeneous Equations with Constant Coecients
Section 3.1: Homogeneous Equations with Constant Coecients
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Boyce and Richard C. DiPrima, pub
Math 212: Section 3.2
Fundamental Solutions of Linear Homogeneous Equations
Section 3.2: Solutions of Linear Homogeneous Equations;
the Wronskian
These notes reect material from our text, Elementary Dierential Equations, 10/e, by William E.
Boyce and Rich
Math 212: Section 1.1
What Are Dierential Equations?
Section 1.1: What Are Dierential Equations?
These notes reect material from our text, Dierential Equations with Boundary Value Problems, by
Selwyn Hollis, published by Prentice Hall, Upper Saddle River,