Q1 Use separation of variable method to solve Laplace equation on a disk of radius a...

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Q1 Use separation of variable method to solve Laplace equation on a disk of radius a in polar coordinate 1 d ди + For (rou) + dr dr 10²u 12 302 The boundary conditions are given as u(a,0)=f(0), -* <0 <*. u(r, - n) = u(r. n) ди (r₁ - x) = 20 (₁) du до = 0,0<r <a, -<0<*. Assume that |u(0,0)| <∞0. Q1 Use separation of variable method to solve Laplace equation on a disk of radius a in polar coordinate 1 d ди + For (rou) + dr dr 10²u 12 302 The boundary conditions are given as u(a,0)=f(0), -* <0 <*. u(r, - n) = u(r. n) ди (r₁ - x) = 20 (₁) du до = 0,0<r <a, -<0<*. Assume that |u(0,0)| <∞0.