Scott Armstrong math 54 quiz 12

Scott Armstrong math 54 quiz 12 - ‘ Name: - _ t - Quiz 12...

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Unformatted text preview: ‘ Name: - _ t - Quiz 12 Math 54 - Summer 2008 August 13, 2008 Derive a formal solution to the initial-boundary value problem 3% 32a E5(x,t)=5;§ (0<x<L,t>0) u(0,t) = a, u(L,t) = b (t > 0) u(a:,0) = f(x) (0 < a: < L) g—ZL—(acfi) = g(m) (0 < m < L) You may use your knowledge of the formal solution of the wave equation with homogeneous boundary conditions. Make sure you explain how to compute any coefficients in your solution. , ‘ ' 3-; — . “(k2 general $o\\;\\m O‘Q 53 "I 5;: 0090‘ lvxomosmeoog Bauhalwxj ' cmiliws 100$}: MlL‘t\=O ‘ is 201 E0“ (20$(fi-E‘l') 4- bfis‘m Sin . 'Mx‘B = n ‘ y {A 9A0: gawk” 05% = 8% ‘W‘A'k inwatvneoos ‘ . N __ \y—a cmol‘rl‘ms m(0\t\=q\ Muffl =5 6 MONA - TX *0. les “We. auroral saluliwx our (PDE 03%er ‘Huz funnel»? )fi - m ‘v\- :n "I (lowlaims is 0 Moot) =04” bf" + Ebflwfltl 5‘5 (1.)) i “a 3‘ Sin ) @\\)55an “As ouc conéi‘l‘lvws‘ “Q flaw; re ; .- 00 I‘ my - u @“Sin “3‘. =— Q+ §E“X +;Qn$\fll L )) 860— w: L ...
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This note was uploaded on 01/12/2010 for the course CALC ii taught by Professor Scottarmstrong during the Winter '08 term at University of California, Berkeley.

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Scott Armstrong math 54 quiz 12 - ‘ Name: - _ t - Quiz 12...

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