13.2 Classical PDEs and Boundary-Value Problems

INTRODUCTION

For the remainder of this and the next chapter we shall be concerned with finding product solutions of the second-order partial differential equations

(1)

(2)

(3)

or slight variations of these equations. These classical equations of mathematical physics are known, respectively, as the one-dimensional heat equation, the one-dimensional wave equation, and Laplace’s equation in two dimensions ...

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