An operative approach to solve Homogeneous
differential--anti-differential equations
Abstract
In this work, we extend the theory of differential equations through a
new way. To do this, we give an idea of differential–anti-differential
equations and dene ordinary as well as partial
derivative{anti-derivative operator with a base function to solve
several types of such equations. The operator is applied to construct
several Auxiliary equations for a Homogeneous
differential–anti-differential equations. The roots, of the Auxiliary
equations, are then inserted in the base function to get exact solutions
of the corresponding equations. The process can be used to solve both
Homogeneous linear and non-linear ordinary as well as partial
differential–anti- differential equations. The technique has special
property that it can solve several different types of differential
equations including continuity, Heat, Wave, Laplace, Schrodinger, Euler,
Blasius differential equations.