2:58
What is a Differential Equation
Professor Heather Pierce
4:42
Types of Differential Equations
3:24
Linear Differential Equations
4:52
Direction Fields
7:00
Euler's Method
3:42
Automating Euler's Method
5:19
More Euler's Method
4:44
Separable Differential Equations
2:36
Verifying Solutions
5:36
More Separable Equations
6:03
6:40
Linear Differential Equations Examples
6:50
Mixing Problems
6:52
Population Models
6:21
Ideas of Heating and Cooling
7:02
Examples of Heating and Cooling
3:19
Electrical Circuits
4:56
RL Circuits
3:06
RC Circuits
5:28
Linear Systems
9:22
Potential Problems
2:25
Introduction to Matrices
5:00
Arithmetic of Matrices
3:51
Transpose and Identity
The Matrix Inverse with MatLab
4:14
Determinants
4:29
Calculus of Matrices
8:21
Normal Form
6:28
Linear Independence
6:13
Fundamental Matrix
Homogeneous Solutions
9:16
Solving with Distinct Roots
16:28
Solving with Repeated Roots
5:13
Euler's Formula
6:53
Complex Solutions
9:20
Solving with Complex Roots
2:47
Second-Order Homogeneous Equations
2:38
Second-Order with Distinct Roots
2:14
Second-Order with Repeated Roots
2:46
Third-Order Differential Equations
6:22
Second-Order with Complex Roots
6:42
Nonhomogeneous with Polynomial Functions
1:14
Nonhomogeneous with Exponential Functions
4:24
Nonhomogeneous with Trigonometric Functions
6:04
Nonhomogeneous with Product Functions
11:50
General Solutions
5:37
Superposition Principle
5:12
Idea of the Laplace Transform
8:37
The Laplace Transform
6:32
Linearity and Existence of the Transform
Translating s
7:24
Transform of the Derivative
Derivative of the Transform
4:36
Idea of the Inverse Laplace Transform
3:52
Inverse Laplace Transform
8:05
Linearity of the Inverse Laplace Transform
4:26
Distinct Linear Factors
Repeated Linear Factors
7:13
Irreducible Quadratic Factors
18:17
Initial Value Problems
6:23
The Unit Step Function
7:23
Laplace Transform of Discontinuous Functions
8:12
Inverse Transform of Discontinuous Functions
