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Solved Quiz 7 for Partial Differential Equations | MTH 3326, Quizzes of Differential Equations

Baylor University (BU)Differential Equations
Prof. Lance L. Littlejohn

Material Type: Quiz; Professor: Littlejohn; Class: Partial Differential Equations; Subject: Mathematics; University: Baylor University; Term: Fall 2008;

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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Download Solved Quiz 7 for Partial Differential Equations | MTH 3326 and more Quizzes Differential Equations in PDF only on Docsity!

Math 3326 Quiz #7 FALL SEMESTER 2008 Name Solutions 1. Solve the Dirichlet mixed boundary value problem Ure + Uyy = 0 emf i u(a,0) = 0, i (0<¢ x } =) | A a constant Hence RY-AE=O ¢ L"4NL= 2 and Srv be), We cee Hat: Kloj=o 8 ¢ Ylo)=Y'(M) =o. We dst solve L'Y IL 20 Lio)- LiiM)=o Coed Amo then. Viq)=¢tG4 so Liyece Me aoe Foy tee so¢g LiiMsoaCz= oO 7 | “Thia implies Hut Vly) = 0 Se wley) is nok nova tiviall, Caae 2 Axe ocas 4c,Sin Vay So Lly)= “cy Sasiinthy eee cos y ‘Then Then Ly)= Hence O= Ylo) s>c,-0 € Tino cy LycosXMeo. Covisequently 4x dxM= Conca dohoce Ave Can take N=1,2,--- therefore, ave toke Ap (oat (yz1,2,.--) ,9nd an Has Cae, we See Hot wet Can take Lalye sin(22p1y) €nzh,2-++) We ‘new seve the BVP B"->E=O where Ay= (omy at | Xloj=o 4M | In Huis case, the gereal Sebution vega A,e=O 1S a - Xb0= he + he