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1) If y = A• cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for 0sx ST/2 with A and B constants. Find the four smallest possible values of c satisfying the boundary conditions y(0) = 0 and y(n/2) = 0.

1) If y = A• cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for 0sx ST/2 with A and B constants. Find the four smallest possible values of c satisfying the boundary conditions y(0) = 0 and y(n/2) = 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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1) Ify = A cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for 0sxST/2 with A and B constants. Find the four smallest possible values of c satisfying the boundary conditions y(0) = 0 and y(n/2) = 0. 2A) Decompose sin(3x)*cos(t) where x is position and t time into two standing waves. 2B) What is the velocity of the standing waves assuming t is in seconds and x in meters
Transcribed Image Text:1) Ify = A cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for 0sxST/2 with A and B constants. Find the four smallest possible values of c satisfying the boundary conditions y(0) = 0 and y(n/2) = 0. 2A) Decompose sin(3x)*cos(t) where x is position and t time into two standing waves. 2B) What is the velocity of the standing waves assuming t is in seconds and x in meters
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