Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2021
  • Volume: 13
  • Issue: 1

Continued differential operator

  • Author:
  • Rajasekhar Parameswara Iyer
  • Total Page Count: 6
  • Page Number: 125 to 130

Senior Technical Advisor, INKEL, Cochin, Kerala, India, Email: raju58vaikom@gmail.com

MSC: 60E05, 62E15, 62H10, 62H12

Abstract

This Paper is based on the concept of a ‘Continued Differential Operator, that makes easy the process of integration contained in unpublished work ‘Differentiation by a method of Continued Differentiation ’by (Late) Parameswara Iyer N Vaikom, This is similar to the Differential operator D. Using this concept, explicit formulae for Ordinary Differential Equations (ODE) with constant coefficients, in the form of f (D) y = f (x). φ(x); where f (x) is nth degree polynomial and φ(x) is sin ax, cos ax, sinh ax or cosh ax could be derived.

Keywords

Linear Differential Equations, Particular Integral, Direct formulae, Differential Operator, Continuous Differential Operator