A string with motionless ends at z = 0 and z = 1 vibrates according to the wave equation Fu Fu ət² 1. Use separation of variables (show details) to solve the equation provided that the initial profile of the string is u(x,0) = 4 sin(2x) and the initial velocity du Ət It=0 = 0.

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Q: There is no solution

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: S 1 2 10-Sy */ - / / dy x4

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Q: 2. Prove that if A is nonsingular, then Aª is nonsingular and (AT)−¹ = (A−¹)T. Hint: (AB)T = BT AT.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: P= 84 B=336 26 24 .46 281 30 1

A: Since you have posted multiple different questions, so we will solve only the first question for you…