Course Code | MA 207 |

Course Name | Differential Equations II |

Offered to | UG/PG |

Pre-requisites | NIL |

Lecture | 3 |

Tutorial | 1 |

Practical | 0 |

Credit | 4* |

Reference | 1. 1. E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999). 2. W. E. Boyce and R. DiPrima, Elementary Di?erential Equations (8th Edition), John Wiley (2005). 3. R. V. Churchill and J. W. Brown, Fourier series and boundary value problems (7th Edition), McGraw-Hill (2006). |

Description | Review of power series and series solutions of ODE302222s.Legendre302222s equation and Legendre polynomials. Regular and irregular singular points, method of Frobenius.Bessel302222s equation and Bessel302222s functions. Strum-Liouville problems. Fourier series. D302222Alembert solution to the Wave equation. Classi?cation of linear second order PDE in two variables. Laplace, Wave, and Heat equations using separation of variables. Vibration of a circular membrane. Heat equation in the half space. |