Question: A multivariable function u(x,y) satisfies the Laplace equation if uuyy=0.Consider the functions f(x,y)=eaxcos(ay), where a is constant and g(x,y)=3xy2-x33x2y-y3.(a) Find all first- and second-order partial

A multivariable function u(x,y) satisfies the Laplace equation if uuyy=0.Consider the functions f(x,y)=eaxcos(ay), where a is constant and g(x,y)=3xy2-x33x2y-y3.(a) Find all first- and second-order partial derivatives of f and g.[12 marks](b) Show that both f and g satisfy the Laplace equation.[4 marks]

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