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(III) 4y+y=0,y(0)=1,y(0)=2 XIV)[x22U+y22U=OUU(0,y)=0,U(x,0)=0,U(a,y)=0,U(x,b)=2x,a,&baredimensionsoftheelement (2. (3) Prove that the one dimensional steady state temperature distribution for fin with uniform cross sectional area of diameter d, and length L is given by: dx2d2T4K2h(TTs)=0dx2d2Tdh4k(TTS)=0 Where h is the convection heat transfer coefficient, K is the thermal conductivity of the Xb)SolvetheaboveequationwithT=T0 at x=0 and T=0 at x=LT1TTT=e fin material and T is the surrounding temperature. The following first order reaction sequence has taken place to produce product C from reactant A: ABC Where k1=0.2, and k2=0.1 sec1. Using material balance compute the following: (11) The change of CA, and CB, knowing that CA0=1.0mol/L, and CB0=CC=0. The time at which the concentration of B is maximum, and the value of it. 4y+y=04(1)+y(0)=0L(f)=5L(F)f(0)L(F)n=52L(F)5f(0)fGoodLuck(5) 4+0=0 y=4CA0=1CBO=0Cc0=0