Problem

The partial differential equation where c is a constant, comes up in the study of deflecti...

The partial differential equation

where c is a constant, comes up in the study of deflections of a thin beam. Show that

u(x, t) = sin(λπx) cos (λ2π2 ct)

is a solution for any choice of the parameter λ.

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Solutions For Problems in Chapter 3.4

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