Ordinary Differential Equations

Code: MA2301H | L-T-P-C: 3-1-0-4

First order differential equations, exact differential equations, integrating factors, Bernoulli equations, existence and uniqueness theorem, applications; Higher-order linear differential equations, solutions of homogeneous and nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, operator method; Series solutions of linear differential equations, Legendre equation and Legendre polynomials, Bessel equation and Bessel functions of first and second kinds; Systems of first-order equations, phase plane, critical points, stability.

Texts:

• S. L. Ross, Differential Equations, Wiley India, Third Edition, 2004.

 

References:

• E. A. Coddington, An Introduction to Ordinary Differential Equations, Dover Publications, 1989.
• G.  Simmons and S. Krantz, Differential Equations: Theory, Technique and Practice, McGraw Hill Educations, 2006.
• W. E. Boyce and R. C. DiPrima, Elementary Differential Equations, Wiley India, Ninth Edition, 2008.
• E. L. Ince, Ordinary Differential Equations, Dover Publications, 1958.