Subject Code: MA5L009 Subject Name:  Ordinary Differential Equations L-T-P: 3-0-0 Credit: 3
Pre-requisite(s): Nil
Ordinary differential equations- first order equations, Picard’s theorem (existence and uniqueness of solution to first order ordinary differential equation). Second order differential equations- second order linear differential equations with constant coefficients. Systems of first order differential equations, equations with regular singular points, stability of linear systems. Introduction to power series and power series solutions. Special ordinary differential equations arising in physics and some special functions (e.g. Bessel’s functions, Legendre polynomials, Gamma functions) and their orthogonality. Oscillations - Sturm Liouville theory.
Text Books:
  1. Coddington E. A.  An Introduction to Ordinary Differential Equations,  Prentice Hall
  2. Differential Equations, Tata McGraw Hill
Reference Books:
  1. Hsieh  P.F. and Sibuya Y.  Basic Theory of Ordinary Differential Equations, UTX, Springer
  2. Ross S. L.  Differential Equations, Wiley
  3. Apostol T. Calculus, Volume II, John Wiley & Sons {ASIA} Pvt Ltd
  4. Deo S.G. , Lakshmikantham  V. and Raghavendra  V.  Textbook of Ordinary Differential Equations, Tata-McGraw-Hill Publishing Co. Ltd
  5. Rama Mohana Rao  H. Ordinary differential equations, Edward Arnold, Wiley
  6. Coddington  E. A.  and Levinson N. Theory of Ordinary Differential Equations, Tata McGraw Hill