Needed to be solved correclty in 20 minutes please solve correctly and provide correct option The solution of Laplace's equation Uæx + Uyy 0

Needed to be solved correclty in 20 minutes please solve correctly and provide correct option

Extracted text: The solution of Laplace's equation Uæx + Uyy 0 < x="">< 3,="" 0="">< y="">< 4,="" subject="" to="" the="" boundary="" conditions="" u(z,="" 0)="3x" –="" x²,="" u(x,="" 4)="0," u(0,="" y)="0," u(3,="" y)="0," has="" the="" form="" u(x,="" y)="" o="" within="" the="" rectangular="" region="" -="" %3d="" nt(3–x)="" 2="" sin()="" e="" an="" sinh="" 4="" n="1" e="" an="" sinh(")="" sin()="" пту="" 3="" 3="" n="1" o)="" none="" of="" these="" nt(4-y)="" )="" an="" a,="" sinh="" 2="" sin()="" 3="" o="" e)="" ax="">