Math 320: Elementary Differential Equations
1. First Order Differential Equations
Separable diff equations
Homogeneous diff equations
Linear diff equations
Bernoulli's equations
Exact equations
2. Applications of First Order ODEs:
Populaton Growth
Newton's Law of Cooling
Applications of First Order ODEs continued:
Mixing Tank Problems
Falling Body Problems
3. Second Order Linear ODEs
Basic Concepts
Real and Distinct roots
Complex Roots
Equal Roots
Reduction of order
4. Second Order nonhomogeneous Equations
Method of Undetermined Coefficients
Variation of Parameters
5.
Higher Order Homogeneous Equations
6.
Applications of Second Order ODEs: Mechanical Vibrations
7. Laplace Transforms:
The Definition
Some Proofs
Laplace Transforms of
(a) General functions
(b) Special Functions
Inverse Laplace Transforms
Initial Value Problems (IVPs)
If you find any mistakes let me know: rdahal at coastal.edu
