MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY, JAIPUR.
DEPARTMENT OF MATHEMATICS
SYLLABUS
MAT-614 Ordinary Differential Equations:
4 Credits (3L+1T+0P)
Ordinary differential equations: System of Simultaneous Linear Differential Equations
with constant and variable coefficients. Pfaffian Equation, Solution in Series, Bessel’s, and
Legendre polynomial, Linear Difference Equations.
Existence and Uniqueness of Initial Value Problems: Picard's and Peano's Theorems.
Boundary Value Problems for Second Order Equations: Green's function, Sturm
comparison theorems and oscillations, Eigen Value Problems and Sturm Liouville Problems,
Stability of Linear and Non Linear Systems.
Books Recommended:
1. Ordinary Differential Equations, Dev Raghvendra et al., Tata McGraw Hill.
2. Elements of Ordinary Differential Equations and Special Functions, A Chakrabarti, Wiley,
1990.
3. Text book of Ordinary Differential Equation, C.R.Mondal, PHI Learning, 2008.