## Question

###### Gnen {() =Il where CJ <I <J {(c) periodic(-,#]Is f (x) eten odd function? f(r) Ecen fnd he Fourier Sro confdents coelliclentsIf it odd, Ind the2<I <-1 J ElaI<0 Given f (=) - #hich periodic 1-2,2 #ith period K0< I < 1 if 1 <I < Fourier Series coefficients for for n 1,2 and bn for n = 1,2 Using " the method euurulion variabls, solve the PDE ior ulI;Find theCjne - thc mcthod 4un consuniseparation of vuriablea LTE the PDE for u(z,g) for the secitic citeDying mnethod s

Gnen {() =Il where CJ <I <J {(c) periodic (-,#] Is f (x) eten odd function? f(r) Ecen fnd he Fourier Sro confdents coelliclents If it odd, Ind the 2<I <-1 J ElaI<0 Given f (=) - #hich periodic 1-2,2 #ith period K0< I < 1 if 1 <I < Fourier Series coefficients for for n 1,2 and bn for n = 1,2 Using " the method euurulion variabls, solve the PDE ior ulI; Find the Cjne - thc mcthod 4un consuni separation of vuriablea LTE the PDE for u(z,g) for the secitic cite Dying mnethod separation of wariables , salve the PDE for ulr,4) for the sPaif _ Cdtt when (e constant positive numhcr Usng the method scparation Wrihles Anlrr the PDE lor u(I,V): pcrod

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