HW7_313fall09

HW7_313fall09 - 2 ∂u ∂t x ∂u ∂x = u-x sin t-2 u(1 0...

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AERSP 313 Homework Assignment No. 7 Assigned October 29, 2009 Due November 5, 2009 First Order Partial Differential Equations - Kreyszig 9th edition Sec. 12.1, p. 537: Nos. 10, 11, 14, 19 Also, solve the following partial differential problems for u ( x, t ) 1. ∂u ∂t + ∂u ∂x = e x - sin t, u ( x = 0 , t = 0) = 4
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Unformatted text preview: 2. ∂u ∂t + x ∂u ∂x = u-x sin t-2 , u (1 , 0) = 3 Hint: Note that d ( ue-t ) dt = du dt e-t-ue-t 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.

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