Math 320: Elementary Differential Equations

Practice Questions and Study Resources

1 First Order Differential Equations

Separable Differential Equations Homogeneous Differential Equations Linear Differential Equations Bernoulli's Equations Exact Equations

2 Applications of First Order ODEs

Population Growth Newton's Law of Cooling Mixing Tank Problems Falling Body Problems

3 Second Order Linear ODEs

Basic Concepts Real and Distinct Roots Complex Roots Equal Roots Reduction of Order Euler ODEs

4 Second Order Nonhomogeneous Equations

Method of Undetermined Coefficients Variation of Parameters

5 Higher Order Equations

Higher Order Homogeneous Equations Method of Undetermined Coefficients Variation of Parameters

6 Applications of Second Order ODEs

Mechanical Vibrations

7 Laplace Transforms

The Definition Some Proofs

Laplace Transforms of Functions

General Functions Special Functions Inverse Laplace Transforms

Solving Differential Equations

Initial Value Problems (IVPs)

Questions or Found a Mistake?

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