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6. Find a solution u(x, t) of the following problem 9u 4 0 Utt u(0, t) u(4, t) 0 0 x2 2 4 ut(r, 0) 0 u(r, 0) 4

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Solution jven らラォラ9 u lo,t) 7ラィラの Y-x 6ラえラz X 778 X 9T 2 9T t ニ ーk2 3xナk>xニ0 A Eguahon is mrtk mニ土k C Cos kx+2 Sjm kx Now -K2from I. C ulo,fo CSim oCC3 Cos 3ktCySin 3k) (C, loso ニ0 +Cy Sin 3kt) C SimkxCz Cos 3 u(I,t) I. Comdtion uc4,t)- Aom C Sim ykwe hav fln Sim dx 2 2. Sim万X xsim mX abr t 2. 2- T g 2- 2 Los lx -x Cosm万n4 los の万x,y ah t9-/-osnaz y) 2 2- ot2,P los 2 2- -1

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Would like the full steps to get to the answer. Thank you. 6. Find a solution u(x, t) of the following problem 9u 4 0 U...
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