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 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 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 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 27: Linear homogeneous autonomous system (MATH)
Lecture 29: Fundamental matrix solutions (MATH)
Lecture 30: Fundamental solutions in exponential form (MATH)
Lecture 31: Nonhomogeneous system of equations (MATH)
Lecture 33: Linear differential equations (MATH)
Lecture 34: Stability of linear systems. (MATH)
Lecture 35: Stability of equilibrium solutions.(MATH)