Publisher's Synopsis
This textbook for undergraduate and postgraduate courses presupposes no background other than elementary calculus.
The novel features of the book are:
- Systematic method of finding integrating factors of the first order equations.
- Unified treatment of several categories of equations under the banner of Linearly Separable Equations.
- Rational approach to Singular Solutions.
- Sound treatment of inverse operator method for obtaining particular solutions of non-homogeneous linear equations.
- Technique of solving systems of linear equations with constant coefficients equivalent to the use of Jordan Canonical form of the associated matrix.
- Theoretically sound approach to the method of Laplace transforms.
- Elaboration of properties of Legendre and Bessel functions and inclusion of all the major numerical techniques for solving differential equations along with a derivation of the Runge Kutta formula.
- Additional exercises with answers.
