Method of images to solve green's function problems

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pivoxa15
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How does the method of images work? I can see why it works (by going back to the form of the Green function and differentiating) but don't see how useful it is
to solve problems. At the moment I am basically memorising the different
images for each boundary condition which I am sure is not the way to go.
How do you think about it so that one can work out the solution logically from the method of images?

Is there a way to work out the solution from the method of images alone without needing to do any differentiation?
 
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