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## Homework Statement

I have a really dumb question, but I want to make sure this is right...

So I have the integral (d

^{2}V)/(dф

^{2}) = 0. I am solving for the potential function on the bounds, 0 < ф < ф

_{o}. I will also be solving on range of ф

_{o}< ф < 2∏.

## Homework Equations

The Laplace equation is above.

## The Attempt at a Solution

So, I am just having my doubts... When solving for 0 < ф < ф

_{o}, I take the first integral with respect to d/dф, and after this I get dV/dф = arbitrary constant. If I take another integral on this (after multiplying both sides by dф), I get V = ф

_{o}*arbitrary constant, right?!?

When solving for the other bounds, ф

_{o}< ф < 2∏, I get V = arbitrary constant*(2∏ - ф

_{o}), yes?!

Thank you for all help, I apologize for the silly question. I just wanted to make sure...