Lectures (Video)
- 1. The Geometrical View
- 2. Euler's Numerical Method
- 3. Solving First-order Linear ODE's
- 4. First-order Substitution Methods
- 5. First-order Autonomous ODE's
- 6. Complex Numbers
- 7. First-order Linear ODEs with Constant Coefficients
- 8. Applications of First-order Linear ODEs with Constant Coefficients
- 9. Solving Second-order Linear ODE's with Constant Coefficients
- 10. Complex Characteristic Roots
- 11. Theory of General Second-order Linear Homogeneous ODE's
- 12. Stability Criteria
- 13. Particular Solution to Inhomogeneous ODE's
- 14. Resonance
- 15. Introduction to Fourier Series
- 16. More General Periods
- 17. Finding Particular Solutions via Fourier Series
- 19. Introduction to the Laplace Transform
- 20. Derivative Formulas
- 21. Convolution Formula
- 22. Using Laplace Transform to Solve ODEs
- 23. Impulse Inputs
- 24. First-order Systems of ODEs
- 25. Homogeneous Linear Systems
- 26. Repeated Real Eigenvalues
- 27. Sketching Solutions of Homogeneous Linear System
- 28. Matrix Methods for Inhomogeneous Systems
- 29. Matrix Exponentials
- 30. Decoupling Linear Systems
- 31. Non-linear Autonomous Systems
- 32. Limit Cycles
- 33. Relation Between Non-linear Systems and First-order ODEs
Differential Equations - Lecture 27
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Lecture 27 - Sketching Solutions of Homogeneous Linear System
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients.
Prof. Arthur Mattuck, Prof. Haynes Miller
18.03 Differential Equations, Spring 2006 (Massachusetts Institute of Technology: MIT OpenCourseWare) http://ocw.mit.edu Date accessed: 2008-12-23 License: Creative Commons BY-NC-SA |
