1) If y = A cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?= 0 for 0 s xsT/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 0 s xsT/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.
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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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