# Ordinary Differential Equations and Applications Video Lectures

Ordinary Differential Equations and Applications
'Ordinary Differential Equations and Applications' Video Lectures by A. K. Nandakumaran Raju, K. George, P. S. Datti from IISc Bangalore
 "Ordinary Differential Equations and Applications" - Video Lectures 1. General Introduction 2. Examples 3. Examples Continued I 4. Examples Continued II 5. Linear Algebra 6. Linear Algebra Continued I 7. Linear Algebra Continued II 8. Analysis 9. Analysis Continued 10. First Order Linear Equations 11. Exact Equations 12. Second Order Linear Equations 13. Second Order Linear Equations Continued I 14. Second Order Linear Equations Continued II 15. Well-posedness and Examples of IVP 16. Gronwall's Lemma 17. Basic Lemma and Uniqueness Theorem 18. Picard's Existence and Uniqueness Theorem 19. Picard's Existence and Uniqueness Continued 20. Cauchy Peano Existence Theorem 21. Existence using Fixed Point Theorem 22. Continuation of Solutions 23. Series Solution 24. General System and Diagonalizability 25. 2 by 2 systems and Phase Plane Analysis 26. 2 by 2 systems and Phase Plane Analysis Continued 27. General Systems 28. General Systems Continued and Non-homogeneous Systems 29. Basic Definitions and Examples 30. Stability Equilibrium Points 31. Stability Equilibrium Points Continued I 32. Stability Equilibrium Points Continued II 33. Second Order Linear Equations Continued III 34. Lyapunov Function 35. Lyapunov Function Continued 36. Periodic Orbits and Poincare Bendixon Theory 37. Periodic Orbits and Poincare Bendixon Theory Continued 38. Linear Second Order Equations 39. General Second Order Equations 40. General Second Order Equations Continued
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