Learn · Ordinary Differential Equations and Applications
Lecture 7 of 40Preliminaries
Linear Algebra Continued II
A. K. Nandakumaran, P. S. Datti and Raju K. George · IISc Bangalore
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- Ordinary Differential Equations and Applications, IISc Bangalore (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures
- General Introduction
- Examples
- Examples Continued I
- Examples Continued II
- Linear Algebra
- Linear Algebra Continued I
- Linear Algebra Continued II
- Analysis
- Analysis Continued
- First Order Linear Equations
- Exact Equations
- Second Order Linear Equations
- Second Order Linear Equations Continued I
- Second Order Linear Equations Continued II
- Well-posedness and Examples of IVP
- Gronwall's Lemma
- Basic Lemma and Uniqueness Theorem
- Picard's Existence and Uniqueness Theorem
- Picard's Existence and Uniqueness Continued
- Cauchy Peano Existence Theorem
- Existence using Fixed Point Theorem
- Continuation of Solutions
- Series Solution
- General System and Diagonalizability
- 2 by 2 systems and Phase Plane Analysis
- 2 by 2 systems and Phase Plane Analysis Continued
- General Systems
- General Systems Continued and Non-homogeneous Systems
- Basic Definitions and Examples
- Stability Equilibrium Points
- Stability Equilibrium Points Continued I
- Stability Equilibrium Points Continued II
- Second Order Linear Equations Continued III
- Lyapunov Function
- Lyapunov Function Continued
- Periodic Orbits and Poincare Bendixon Theory
- Periodic Orbits and Poincare Bendixon Theory Continued
- Linear Second Order Equations
- General Second Order Equations
- General Second Order Equations Continued