3 By direct partial integration, Solve the following ADES 8- @ 6 x+ буду 5 4 JZ = 0, Z(X₂0) = X+X, Z (2,y)= 3y ду 2 5 Ans ZX + X + ; 7 = 8²u axdy буч 68 X X = cos x cosy, u(x, #) = X U(X₂) =X, U(#₂ y) = 2 cosy 2 dx 2 +²+ Ans: u(x,y) = sinxsing + m 2 サ + 2 cosy - 1² 2

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A: Find the general solution (D^3 + 7D^2 + 19D + 13)y = 0 when x = 0, y = 0, y' = 2, y'' = -1

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