5Separation of Variables-Nonhomogeneous Problems5.1Inhomogeneous Boundary ConditionsProblems1. For each of the following problems obtain the functionw(x, t) that satis±es the boundaryconditions and obtain the PDEa.ut(x, t)=kuxx(x, t)+x,0<x<Lux(0,t)=1,u(L, tt.b.ut(x, txx(x, tx,0u(0,ux(L, t.c.ut(x, txx(x, tx,0ux(0t,ux(L, tt2.2. Same as problem 1 for the wave equation
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.