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A flexible string of length t is tightly stretched between x = 0,x = n, on x-axis, its ends being fixed at these points. When set into small transverse vibration, the a²y displacement y(x,t) from x-axis of any point x at time t is given by = 4 əx²' at2 Find the solution of equation which satisfies y(0, t) = 0, y(n, t) = 0, = 0 and y(x, 0) = 0.1 sin x + 0.001 sin 4x for 0

A flexible string of length t is tightly stretched between x = 0,x = n, on x-axis, its ends being fixed at these points. When set into small transverse vibration, the a²y displacement y(x,t) from x-axis of any point x at time t is given by = 4 əx²' at2 Find the solution of equation which satisfies y(0, t) = 0, y(n, t) = 0, = 0 and y(x, 0) = 0.1 sin x + 0.001 sin 4x for 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A flexible string of length t is tightly stretched between x = 0,x = r, on x-axis, its ends being fixed at these points. When set into small transverse vibration, the displacement y(x, t) from x-axis of any point x at time t is given by - a²y = 4 a²y Find the solution of equation which satisfies y(0, t) = 0, y(n,t) = 0, O) = 0 and y(x, 0) = 0.1 sin x + 0.001 sin 4x for 0 <x < n. t=0
Transcribed Image Text:A flexible string of length t is tightly stretched between x = 0,x = r, on x-axis, its ends being fixed at these points. When set into small transverse vibration, the displacement y(x, t) from x-axis of any point x at time t is given by - a²y = 4 a²y Find the solution of equation which satisfies y(0, t) = 0, y(n,t) = 0, O) = 0 and y(x, 0) = 0.1 sin x + 0.001 sin 4x for 0 <x < n. t=0
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