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Solve the following Laplace equation ugzuy0 (0 < x < 1, y > 0) by separating variables under the condition: ug (0,y) 0, u (1,Type or paste question here

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Solution . Given that 24 + 24 = 0 are2 242 aze 24(0,4)=0, 4044= 6 - © 412110) = (as ne + 2 cas ( 37 ) genesal soketion let ur4(214) = ACOSRa (Ceky + Deky = A Car Rule Cushky + sinhky] 41414) = (Breashky + ensinhky) Alasky (2 APRey another B-C. 411,4)

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