Question

3.3.1 (a) Show that u = x³ – 3xy² satisfies Laplace's equation. (b) Do the same for s=4x³y – 4xy³, and explain where this comes in the list of polynomial

solutions. (c)Substitute x = cos 0 and y= sin 0 in s and simplify to an expression involving 40.

Fig: 1

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