The following video provides an outline of all the topics you would expect to see in a typical Differential Equations class (i.e., Ordinary Differential Equations, ODE, DEs, Diff-Eq, or Calculus 4).
All of the topics are covered in detail in our Online Differential Equations Course.
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Differential Equations Overview
Differential Equations Overview
The following sections provide links to our complete lessons on all Differential Equations topics.
Also, be sure to check out our FREE calculus tutoring videos and read our reviews to see what we’re like.
Intro to DiffEqs
3 Videos 39 Examples
- Ordinary Differential Equations
- Initial Value Problems
- Chapter Test
First Order Differential Equations
10 Videos 62 Examples
- Direction Fields
- Separable Equations
- Euler’s Method
- First Order Linear ODEs
- Solving Exact ODEs
- Homogeneous Differential Equation
- Bernoulli Differential Equation
- Linear and Nonlinear Models
- Predator Prey Models and Electrical Networks
- Chapter Test
Second Order Differential Equations
10 Videos 70 Examples
- Distinct Real Roots
- Complex Roots
- Repeated Roots
- Wronskian
- Method of Undetermined Coefficients
- Differential Operators
- Method of Variation of Parameters
- Cauchy Euler Equation
- Mechanical Vibrations
- Chapter Test
Series Solutions to ODEs
3 Videos 18 Examples
- Power Series
- Series Solutions
- Chapter Test
Laplace Transform
5 Videos 38 Examples
- Laplace Transform
- Inverse Laplace Transforms
- Initial Value Problems with Laplace Transforms
- Translation Theorems of Laplace Transforms
- Chapter Test
Systems of Differential Equations
3 Videos 23 Examples
- Homogeneous Linear Systems
- Phase Portraits
- Chapter Test
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