Given the following BVP: Du = 0, r>2. 02 +(2,0) = f(0) and lu(re) < M as r0 Let u(r,0) = R(r)*
Posted: Tue Sep 07, 2021 7:10 am
Given the following BVP: Du = 0, r>2. 0<o< u(r,0)=ue (-5) = 0 ,r>2 +(2,0) = f(0) and lu(re) < M as r0 Let u(r,0) = R(r)*(). given that the eigenvalues and eigenfunctions of the SLP y" + y = 0. y(0) = 0, y'(1.) = 0 are 2n = (x2)) and yn = sin (2021), n EN then the solution of the BVP is given by A) u(r.a) = 4,2° sint(2n-1)0) B) u(r.a) = 2 - Ar-(2n-1) sin((2n-1)0) C) u(r,0) = 2 Anr-(2(2n-1)) sin(2(2n-1)0) D) u(r.O) = 2: Ayr[z(2n-1)) sin(2(2n-1)0) E) None