SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY DOUBLE LAPLACE – UPADHYAYA TRANSFORM

In this paper we are going to solve numerous partial differential equations by introducing a new double
integral transform known as Laplace – Upadhyaya Transform (DLUT). The significance of this research is
that all the other double Laplace – any transform, merely becomes particular case of this newly introduced
DLUT. In this paper we will prove few theorems and properties of DLUT which in return will be useful to
solve PDE’s.