MULTI- DIMENSIONAL LAPLACE TRANSFORM FOR NON - HOMOGENOUS PARTIAL DIFFERENTIAL EQUATIONS

In this work, we implement multi-dimensional Laplace transform method for solving the non – homogenous second order partial differential equations. The results reveal that the Laplace transforms method is very convenient and effective. Key words and Phrases: Two-dimensional Laplace transforms; Heat equation; second order linear differential equations; Wave equation. Mathematics Subject Classification2010: Primary 44A30, Secondary 35L05