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Get Full Access to Elementary Differential Equations And Boundary Value Problems - 11 Edition - Chapter 10.8 - Problem 15
Get Full Access to Elementary Differential Equations And Boundary Value Problems - 11 Edition - Chapter 10.8 - Problem 15

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# Show that Laplaces equation in polar coordinates is urr + 1 r ur + 1 r2 u = 0. Hint: Use ISBN: 9781119256007 392

## Solution for problem 15 Chapter 10.8

Elementary Differential Equations and Boundary Value Problems | 11th Edition

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Problem 15

Show that Laplaces equation in polar coordinates is urr + 1 r ur + 1 r2 u = 0. Hint: Use x = r cos and y = r sin and the chain rule.

Step-by-Step Solution:
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FUNCTIONS AND THEIR GRAPHS NOTES Pythagorean Theorem-  For a right triangle with hypotenuse c and length sides a and b.  Formula: a^2+b^2=c^2 Distance Formula-  To find the distance d between the points (x1,y1) and (x2,y2) in the plane.  Formula: d=√(x2 −x1)^2 +(y2 −y1)^2 Midpoint Formula-  To find the midpoint of the line...

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