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

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Show that the functions u₁(x, t) = e-kt (2 sin x+3 cos x) and u₂(x, t) = ex²/(4kt)/√t satisfies the one-dimensional heat equation where k is a positive constant. du Pu Ət əx² - Show that the functions u₁(x, t) = e-kt (2 sin x+3 cos x) and u₂(x, t) = ex²/(4kt)/√t satisfies the one-dimensional heat equation where k is a positive constant. du Pu Ət əx² -