December 2020
Intermediate to advanced
1064 pages
49h 43m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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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 ...