Needed to be solve this multiple choice question correctly in 30 minutes and get the thumbs up please show neat and clean work please 0, whichsatisfies the boundary conditions u(0, t) = u(3, t) = 0...

Needed to be solve this multiple choice question correctly in 30 minutes and get the thumbs up please show neat and clean work please

Extracted text: The solution of the wave equation Urx jutt. 0 < ¤="">< 3.="" t=""> 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(, 0) = 0 and uz(x, 0) = s 2 sin () - 3 sin(2rx) +2 sin(3Tr) is u(x, t) = E sin(7) (n cos() + Bn sin()]. where 2nat 3 3 3 п-1 O a) b1 = 2, b6 = -3, b9 = 2, bn O otherwise an 3 bg 1 b) b1 bn O otherwise 3 b6 an %3D c) a1 - an = b, - O otherwise 2, a6 ag O otherwise Od) a1 =2, a6 3, ag = 2, an = bn e) None of these ||