The Laplacian in Spherical Coordinates

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We derive the formula for the Laplacian in Spherical Coordinates. We employ the formula for the Laplacian in Polar Coordinates twice in the proof.

#mikedabkowski, #mikethemathematician, #profdabkowski, #calc3
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Mann the way you did this is quite easy and this is the best method to do in exams....
Otherwise 💀💀

boruto_uzumaki_
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Elegant. However if I am asked to find the Laplacian in sphericals, I would never ever think of using the polar Laplacian twice ....

wohargRadu
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Can i ask you how can u have the first pink formular uxx+uyy= urr +1/r ur + 1/r^2 u00

HIEUTRANTRUNG-njfe
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if that blue pen step was obvious, Im not captain obvious !

paulg