Differential Equations – MA 266
1
Chapter 1: Introduction to Differential Equations
2 Topics
1.1. Definitions and Terminology
1.2. Initial-Value Problems
2
Chapter 2: First-Order Differential Equations
4 Topics
2.2. Separable Equations
2.3. Linear Equations
2.4. Exact Equations
2.5. Solutions by Substitutions
3
Chapter 3: Applications
1 Topic
3.1. Linear Models: Growth & Decay, Newton’s Law of Cooling, and Series Circuits
4
Chapter 4: Higher-Order Differential Equations
7 Topics
4.1. Homogeneous Equations
4.2. Reduction of Order
4.3. Homogeneous Linear Equations with Constant Coefficients
4.4. Undetermined Coefficients—Superposition Approach
4.5. Undetermined Coefficients—Annihilator Approach
4.6. Variation of Parameters
4.7. Cauchy-Euler Equations
5
Chapter 5: Applications on Higher-Order Differential Equations
1 Topic
5.1. Linear Models: Initial-Value Problems
6
Chapter 6: Series Solutions of Linear Equations
3 Topics
6.1. Review of Power Series
6.2. Solutions About Ordinary Points
6.3. Solutions About Singular Points
7
Chapter 7: Laplace Transform
5 Topics
7.1. Definition of the Laplace Transform
7.2. Inverse Transforms and Transforms of Derivatives
7.3. Operational Properties I
7.4. Operational Properties II
7.5. Systems of Linear Differential Equations
8
Chapter 8: Systems of Linear First-Order Differential Equations
4 Topics
8.1. Preliminary Theory‐Linear Systems
8.2. Homogeneous Linear Systems
8.3. Nonhomogeneous Linear Systems
8.4. Matrix Exponential
LESSONS &
TOPICS
Next Topic
1.1. Definitions and Terminology
Differential Equations – MA 266
Chapter 1: Introduction to Differential Equations
1.1. Definitions and Terminology
Chapter Progress
1.1. Definitions and Terminology
Download Notes
Summary
Problems 1.1 (1, 4, 11 & 29)
Back to Chapter
Next Topic
Back to Chapter
Next Topic
