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First and Second Order Differential Equations Review of ordinary differential equations Techniques of solving second and higher differential equations Sturm Liouville Systems Some properties of Sturm-Liouville equations Regular, periodic and singular Sturm-Liouville systems and its applications Series Solutions of Second Order Linear Differential Equations Review of power series Series solution near an ordinary point Series solution near regular singular points. Series Solution of Some Special Differential Equations Hypergeometric function F(a, b, c; x) and its evaluation Series solution of Bessel equation Expression for Jn(X) when n is half odd integer, Recurrence formulas for Jn(X) Series solution of Legendre equation Rodrigues formula for polynomial Pn(X) Generating function for Pn(X) Recurrence relations, orthogonal polynomials Orthogonality of Bessel functions Expansions of polynomials The three term recurrence relation |
Credit hours/ Marks:- 3 |
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