Math 320: Elementary Differential Equations

1. First Order Differential Equations

Separable diff equations   Homogeneous diff equationsLinear diff equations Bernoulli's equations Exact equations

2. Applications of First Order ODEs

Newton's Law of CoolingMixing Tank ProblemsFalling Body Problems


3. Second Order Linear ODEs

Basic ConceptsReal and Distinct roots Complex RootsEqual Roots Reduction of order

4. Second Order nonhomogeneous Equations

Method of Undetermined Coefficients Variation of Parameters 

5. Higher Order Linear ODEs

Homogeneous Equations Method of Undetermined Coefficients Variation of Parameters

6. Applications of Second Order ODEs:  Mechanical Vibrations


7. Laplace Transforms:    The DefinitionSome Proofs

Laplace Transforms of   (a) General functions     (b) Special Functions

Inverse Laplace TransformsInitial Value Problems (IVPs)

If you find any mistakes let me know: rdahal at coastal.edu

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