Laplace equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{R''}{R} + \frac{1}{r}\frac{R'}{R} + \frac{1}{r^2}\frac{\Theta''}{\Theta} =0 [/tex]

Which give:

[tex]r^2\frac{R''}{R} + r\frac{R'}{R} - \lambda R =0 \;and\; \Theta '' + \lambda \Theta =0 [/tex]

[tex]\theta \;is\; 2\pi \;periodic\; \Rightarrow\; \Theta \;is\; 2\pi \;periodic\;[/tex]

My question is: Why then [tex]\theta \;is\; 2\pi \;periodic\; \Rightarrow\;\lambda = n^2[/tex] where n= 0,1,2,3........

AND

[tex] \Theta = a_n cos(n\theta) + b_n sin(n\theta)[/tex]

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# Question about Laplace(Potential) equation of disk.

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