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Question: a function fxy is called harmonic is it fulfills the...

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A function f(x,y) is called harmonic is it fulfills the laplace equation.

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a) Show by using the chain rule that

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if

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where a and b are constants.
b) Use a) to show that the function e^(2x+3y) *sin(3x-2y) is harmonic.
c)Show that the product of two harmonic functions is harmonic if their gradients is perpendicular to each other at each point.

Please explain thoroughly. :)
Thank you in advance. :)

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