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$\mbox{None of the above}$

$u_n(x,t)=\sin \left (\dfrac{n \pi x}{2} \right )e^{-\alpha^2n^2\pi^2t/4} \ \mbox{for} \ n=1, 2, \ldots$

$u_n(x,t)=\sin \left (\dfrac{n \pi x}{2} \right )e^{-\alpha n \pi t/2} \ \mbox{for} \ n=1, 2, \ldots$

$u_n(x,t)=\sin \left (\dfrac{n^2 \pi^2 x}{4} \right )e^{-\alpha^2n^2\pi^2t/4} \ \mbox{for} \ n=1, 2, \ldots$

$u_n(x,t)=\sin \left (\dfrac{n^2 \pi^2 x}{4} \right )e^{-\alpha n\pi t/2} \ \mbox{for} \ n=1, 2, \ldots$

Test:	DELA-Section 5.3-The heat equation; separation of variables-Easy
Number of Questions:	1
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