Let u(x, y) be a twice differentiable function. Show that in polar coordinates the Laplacian of u takes the form... . Should be an easy Q but i cant remember how to do the second derivative. = . But then how do you take the second derivative?
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= replace x = rcos(theta) y = rsin(theta) This won't be pleasant but: Uxx = (Ux)x so in replace U with Ux similarly for Uyy
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