4. A string of length L coincides with the interval [0,L] on the x-axis. Set up the boundary-value problem for the displacement u(x,t) if the left end moves in a transverse manner according to sin(at) and the right, end satisfies free-end condition. The initial displacement of the string is zero everywhere, and the initial velocity of the string is x²(L – x)². DO NOT SOLVE!
4. A string of length L coincides with the interval [0,L] on the x-axis. Set up the boundary-value problem for the displacement u(x,t) if the left end moves in a transverse manner according to sin(at) and the right, end satisfies free-end condition. The initial displacement of the string is zero everywhere, and the initial velocity of the string is x²(L – x)². DO NOT SOLVE!
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![4.
A string of length L coincides with the interval [0,L] on the x-axis. Set up the
boundary-value problem for the displacement u(x,t) if the left end moves in a transverse
manner according to sin(tt) and the rght end satisfies free-end condition. The initial
displacement of the string is zero everywhere, and the initial velocity of the string is x? (L – x)?.
DO NOT SOLVE!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2212bbb4-b77b-4ea4-b1ba-a9d43923c95b%2F764e703b-51f6-4bf1-a7dc-b2f231f8f4da%2Fcf0sr1s_processed.png&w=3840&q=75)
Transcribed Image Text:4.
A string of length L coincides with the interval [0,L] on the x-axis. Set up the
boundary-value problem for the displacement u(x,t) if the left end moves in a transverse
manner according to sin(tt) and the rght end satisfies free-end condition. The initial
displacement of the string is zero everywhere, and the initial velocity of the string is x? (L – x)?.
DO NOT SOLVE!
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