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How do you solve T"+(a^2)*lamba*t=0

How do you solve T"+(a^2)*lamba*t=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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How do you solve T"+(a^2)*lamba*t=0? Thank you

Safari File Edit View History Bookmarks Window Help Tue 1:35 PM bartleby.com Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework .. Ask an Expert Install SimUText E Bundle: Differential Equations with Bou... < Chapter 12.4, Problem 8E > Get live help whenever you need from online tutors! Try bartleby tutor today → The equation of the variable X is, X" + 1X = 0 (2) The equation of the variable T is, T" + a²2T = 0 (3) The general solution of the equation (2) is, Х (х) — сі сos ax + c2 sin ax (4) At given condition x = 0 and x = L, X (0) = 0 and X (L) = 0 Substitute X (0) = 0 in equation (4), X (0) = c1 cos 0 + c2 sin 0 X GET 10 FREE QUESTIONS 0 = c1 + 0 c1 = 0 Privacy - Terms MAR 23 (* O
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Tue 1:35 PM bartleby.com Install SimUText = bartleby Search for textbooks, step-by-step explanations to homework .. Ask an Expert Install SimUText E Bundle: Differential Equations with Bou... < Chapter 12.4, Problem 8E > Get live help whenever you need from online tutors! Try bartleby tutor today → The equation of the variable X is, X" + 1X = 0 (2) The equation of the variable T is, T" + a²2T = 0 (3) The general solution of the equation (2) is, Х (х) — сі сos ax + c2 sin ax (4) At given condition x = 0 and x = L, X (0) = 0 and X (L) = 0 Substitute X (0) = 0 in equation (4), X (0) = c1 cos 0 + c2 sin 0 X GET 10 FREE QUESTIONS 0 = c1 + 0 c1 = 0 Privacy - Terms MAR 23 (* O
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