Let f(z) =u(x,y) + iv(x, y) be an entire function satisfying v(x, y) > x for all z= x+yi, where u(x, y) = Re(f(z)) and v(x,y) = Im(f(z)). Show that f(z) is a polynomial of degree 1.

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A: We have to derive the modified equation for the simple implicit method applied to the 1-D heat…

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Q: an n→∞ An + 1 2 = 0. Show that lim an n→∞ (5) Suppose lim = 2.

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Q: Why are we equating epsilon = a/2 ?

A: If  such that  for every .We do not always need to take .

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Q: Where is F?

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Q: 2x(x-1)y"+3(x-1)y'-y=0 what's the series solution near a regular singular point at x=0. And what is…

A: 2x(x-1)y"+3(x-1)y'-y=0 what's the series solution near a regular singular point at x=0. And what is…

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