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
o… Show more
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