Unformatted text preview: 2. ∂u ∂t + x ∂u ∂x = ux sin t2 , u (1 , 0) = 3 Hint: Note that d ( uet ) dt = du dt etuet 3. 3 cos x ∂u ∂t + 3 t 2 ∂u ∂x = 2 u 2 t 2 , u (0 , 0) = 1 For this case, evaluate u ( x, t ) at: (a) t =0, x = π , and (b) t =1, x = π...
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This note was uploaded on 10/28/2009 for the course AERSP 313 at Penn State.
 '08
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