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i'm in need of a little help with griffiths 9.5 (EM). the problem concerns a traveling wave of arbitrary shape on a string. the string consists of two strings with different mass densities tied together at z=0. given the arbitrary incoming wave, what are the transmitted and reflected waves?

i know i must impose continuity conditions on the wave and its derivatives at z=0. however, are these two equations enough to determine the problem? or should i decompose the incoming wave using fourier series? i'm not too sure how to go about doing that...any hints?

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# Arbitrary travelling wave on string (griffiths 9.5)

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