Needed to be solve this multiple choice question correctly in 30 minutes and get the thumbs up please show neat and clean work please The solution of Laplace's equation Ugr + Uny 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 Laplace's equation Ugr + Uny 0 < x="">< 3,="" 0=""><>< 4,="" subject="" to="" the="" boundary="" conditions="" u(z,="" 0)="" the="" form="" u(x,="" y)="O" within="" the="" rectangular="" region="" wwww="" 3x="" –="" x²,="" u(x,="" 4)="0," u(0,="" y)="0," u(3,="" y)="0." has="" an="" sinh="" nt(3-x)="" sin="" ()="" nty="" n="1" o="" b)="" ∞="" e="" an="" sinh="" ()="" sin()="" nty="" 3="" n="1" o="" c)="" none="" of="" these="" o="" d)="" (4-y)="" i="" a,="" sinh="" 2="" sin(")="">