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Example 11.16. The transverse displacement u of a point at a distance x from one end and at any time t of a vibrating string satisfies the equation Pulət = 4ulax², with houndary conditions u = 0 at x = 0, t > 0 and u = 0 at x = 4, t >0 and initial conditions u = x(4 – x) and dulat = 0, 0 s x< 4. Solve this equation numerically for one half period of vibration, taking h = 1 and k = 1/2. %3D %3D

Example 11.16. The transverse displacement u of a point at a distance x from one end and at any time t of a vibrating string satisfies the equation Pulət = 4ulax², with houndary conditions u = 0 at x = 0, t > 0 and u = 0 at x = 4, t >0 and initial conditions u = x(4 – x) and dulat = 0, 0 s x< 4. Solve this equation numerically for one half period of vibration, taking h = 1 and k = 1/2. %3D %3D

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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Example 11.16. The transverse displacement u of a point at a distance x from one end and at any time t of a vibrating string satisfies the equation Pulat = 4Puldx?, with houndary conditions u = 0 at x 0, t > 0 and u = 0 at x = 4, t > 0 and initial conditions u = x(4 - x) and dulat = 0, 0 s x< 4. Solve this equation numerically for one half period of vibration, taking h = 1 and k = 1/2.
Transcribed Image Text:Example 11.16. The transverse displacement u of a point at a distance x from one end and at any time t of a vibrating string satisfies the equation Pulat = 4Puldx?, with houndary conditions u = 0 at x 0, t > 0 and u = 0 at x = 4, t > 0 and initial conditions u = x(4 - x) and dulat = 0, 0 s x< 4. Solve this equation numerically for one half period of vibration, taking h = 1 and k = 1/2.
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