ABSTRACT
We will use the inverse operator method to solve homogeneous and nonhomogeneous partial differential equations with constant coefficients. This method, although basically developed and frequently used for solving ordinary differential equations, becomes useful for finding general solutions of partial differential equations with constant coefficients. The problem of finding the general solutions of second-order partial differential equations with constant coefficients and determining their particular solutions under auxiliary (initial) conditions is also discussed in §3.3. Before we discuss the partial differential equations with constant coefficients, we first review in §3.1 the technique of inverse operators from the theory of ordinary differential equations. This review will prove useful in discussing the homogeneous and nonhomogeneous partial differential equations with constant coefficients.
