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This course covers the same material as Differential Equations (18.03) with more emphasis on theory
0
1
English
English [CC]
FREE
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Description
In addition, it treats mathematical aspects of ordinary differential equations such as existence theorems.
Course content
- 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
Instructor
Massachusetts Institute of Technology
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1916
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