Ordinary Differential Equations and Applications
Offered By: NIOS via YouTube
Course Description
Overview
Syllabus
General Second Order Equations - Continued.
General Second Order Equations.
Linear Second Order Equations.
Periodic orbits and Poincare Bendixon Theory Continued.
Periodic orbits and Poincare Bendixon Theory.
Second Order Linear Equations Continued - III.
Stability Equilibrium points continued II.
Stability Equilibrium points continued I.
Stability Equilibrium points.
Basic Definitions and Examples.
General Systems Continued and Non-homogeneous systems.
General systems.
2 by 2 Systems and Phase Plane Analysis Continued.
2 by 2 Systems Phase Plane Analysis.
General System and Diagonalizability.
Series solution.
Continuation of solutions.
Existence using fixed point theorem.
Basic Lemma and Uniqueness Theorem.
Picard's existence and uniqueness theorem.
Picard's existence and uniqueness continued.
Gronwall's Lemma.
Well-posedness and examples of IVP.
Second order linear equations Continued II.
Second order linear equations Continued I.
Second order linear equations.
First order linear equations.
Taught by
Ch 30 NIOS: Gyanamrit
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