The electrostatic potential u between two concentric

Chapter 9, Problem 12E

(choose chapter or problem)

The electrostatic potential u between two concentric spheres of radius r = 1 and r = 4 is determined from

\(\frac{d^{2} u}{d r^{2}}+\frac{2}{r} \frac{d u}{d r}=0\), u(1) = 50, u(4) = 100.

Use the method of this section with n = 6 to approximate the solution of this boundary-value problem.

Text Transcription:

d^2u/dr^2}+2/r du/dr=0

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