The Laguerre transform in two variables and its application in partial differential equations

The practical formulas for differentiation of integral transforms

“…There is no universal way to find the solutions for differential equations with variable coefficients. In advanced researches, we have pursued a subject on differential equations with variable coefficients [2-3, 8-9, 15-16], and many other transforms have been pursued in order to solve integral equations and apply in partial differential equations [6,11,13]. In this connection, we would like to propose the practical formulas for differentiation of integral transforms used for managing differential equations with variable coefficients.…”