Question: Show that the functions u(x, t) = e-kt (2 sin x+3 cos x) and u(x, t) = ex/(4kt)/t satisfies the one-dimensional heat equation where

Show that the functions u(x, t) = e-kt (2 sin x+3 cos

Show that the functions u(x, t) = e-kt (2 sin x+3 cos x) and u(x, t) = ex/(4kt)/t satisfies the one-dimensional heat equation where k is a positive constant. du Pu t x -

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