Completed
Derive the Important Straight Line Solution
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Linear Systems of Differential Equations
Automatically move to the next video in the Classroom when playback concludes
- 1 Dr. Devaney Reintroduces the Mass Spring System
- 2 Using Linear Algebra as a Method
- 3 Review Matrix Notation With an Example
- 4 Practice Vector Notation for Linear Systems
- 5 Always Begin by Finding Equilibrium Points
- 6 All Linear System Origins Have an Equilibrium Point
- 7 Derive the Important Straight Line Solution
- 8 Discover a Property of Constants
- 9 Examine the Solutions in the Phase Plane
- 10 Two Solutions Reveal All in Linear Algebra
- 11 Devaney Reveals the Linearity Principle
- 12 Combine Solutions to Find a General Solution
- 13 The Phase Plane Visualizes the Alternate Solutions
- 14 Alternate Solutions Lead to a Saddle Phase Plane
- 15 Vectors Reveal a Quicker Route to a General Solution
- 16 Linear Independence Among Vectors
- 17 Linear Independence Leads to Constant Solutions
- 18 Finding Homogeneous and Non-Homogeneous Solutions
- 19 Straight Line Solutions Show Decaying Exponentials
