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Created by:
Last updated:
December 23, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This course covers the same material as Differential Equations (18.03) with more emphasis on theory
In addition, it treats mathematical aspects of ordinary differential equations such as existence theorems.
Course Curriculum
- Terminology and implicit solutions Unlimited
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- Integration and solutions Unlimited
- Fundamental principles Unlimited
- First-order linear equations Unlimited
- Separable equations Unlimited
- Linear fractional equations Unlimited
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- Second-order linear equations Unlimited
- Mechanical oscillation Unlimited
- Uniqueness and the wronskian Unlimited
- Separation and comparison theorems Unlimited
- The maximum principle Unlimited
- Higher-order linear equations Unlimited
- Solution bases Unlimited
- Inhomogeneous equations Unlimited
- Stability Unlimited
- Linear systems Unlimited
- Eigenvalues and eigenvectors Unlimited
- Complex solutions and the fundamental matrix Unlimited
- Repeated eigenvalues and the matrix exponential Unlimited
- Phase planes I Unlimited
- Phase planes II Unlimited
- The Poincare-Bendixson theorem Unlimited
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Massachusetts Institute of Technology
