The wave equation c2 (2u/(x2 = (2u/(t2 and the heat equation c (2u/(x2 = (u/(t are two
Question:
(a) u = cos x cos a and u = ex cosh ct satisfy the wave equation.
(b) u = e-ct sin x and u = t-1/2e-x2/(4ct) satisfy the heat equation.
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