Q.6 Solve the Laplace equation U+U = 0 U (0,y)=0,U,(z,y) = 0, U(x,0)=2cos3x+3-2sin²x U(x,1)= cos²x-¹+cos4.x, Hint: U(x, y) = a +by+Σ(A, coshny + B sinh ny) cos nx.

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