MATH: P-4 Ordinary Differential Equations (e-PGP) (English)

   Monday, January 09, 2023   

Starting a new Lecture Notes Series on MATH: P-4 Ordinary Differential Equations (e-PGP)

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MATH: P-4 Ordinary Differential Equations (e-PGP)
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Lecture Description of this above Topic:

Lecture 1: Introduction differential equations (MATH)

Lecture 2: Linear differential equations (MATH)

Lecture 3: Existence and uniqueness theorem (MATH)

Lecture 4: General properties of solutions (MATH)

Lecture 5: Method of variation of parameters (MATH)

Lecture 6: Power series solutions (MATH)

Lecture 7: Ordinary and singular points (MATH)

Lecture 8: Frobenius series method-I (MATH)

Lecture 9: Frobenius series method-II (MATH)

Lecture 10: Frobenius series method-III (MATH)

Lecture 11: Legendre equation and its solution (MATH)

Lecture 12: Generating function for legendre polynomials (MATH)

Lecture 13: Recurrence relations (MATH)

Lecture 14: Orthogonal properties of Legendre (MATH)

Lecture 15: Legendre function of second kind. (MATH)

Lecture 16: Bessel's equation and its solution (MATH)

Lecture 17: Recurrence relations and orthogonal property (MATH)

Lecture 18: Hypergeometric equation and its solution. (MATH)

Lecture 19: Confluent hypergeometric function (MATH)

Lecture 20: Problems on hypergeometricfunction.(MATH)

Lecture 21: Solution of laguerre's equation (MATH)

Lecture 22: Recurrence relations and orthogonal property of aguerre's polynomials.Orthogonal pro (MATH)

Lecture 23: Solution of hermite equation. (MATH)

Lecture 24: Generating function and recurrence relations (MATH)

Lecture 25: Orthogonal property of hermite polynomials. (MATH)

Lecture 26: Introduction to higher order ordinary differential (MATH)

Lecture 27: Linear homogeneous autonomous system (MATH)

Lecture 28: Solution of homogeneous equations: equal roots (MATH)

Lecture 29: Fundamental matrix solutions (MATH)

Lecture 30: Fundamental solutions in exponential form (MATH)

Lecture 31: Nonhomogeneous system of equations (MATH)

Lecture 32: Introduction to qualitative theory of differential equations (MATH)

Lecture 33: Linear differential equations (MATH)

Lecture 34: Stability of linear systems. (MATH)

Lecture 35: Stability of equilibrium solutions.(MATH)