Function(x,y) satisfies the Laplace equation. u=-asin ax cosh 2yu-a cos ax cosh 2 y u, =...

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Function(x,y) satisfies the Laplace equation. u=-asin ax cosh 2yu-a² cos ax cosh 2 y u, = 2 cos ax sinh 2y →u,,= 4 cos arcosh 2 y Ux+U₂y = 0 -a² cos ax cosh 2y + 4 cos ax cosh 2y = 0 (4-a²) cos ax cosh 2y = 0 a=±2 Hence, the required value of a is. Function(x,y) satisfies the Laplace equation. u=-asin ax cosh 2yu-a² cos ax cosh 2 y u, = 2 cos ax sinh 2y →u,,= 4 cos arcosh 2 y Ux+U₂y = 0 -a² cos ax cosh 2y + 4 cos ax cosh 2y = 0 (4-a²) cos ax cosh 2y = 0 a=±2 Hence, the required value of a is.