Senior Technical Advisor, INKEL, Cochin, Kerala, India, Email: raju58vaikom@gmail.com
MSC: 60E05, 62E15, 62H10, 62H12
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is based on the concept of a ‘Continued Differential Operator, that makes easy the process of integration contained in unpublished work ‘Differentiation by a method of Continued Differentiation ’by (Late) Parameswara Iyer N Vaikom, This is similar to the Differential operator D. Using this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.
Linear Differential Equations, Particular Integral, Direct formulae, Differential Operator, Continuous Differential Operator