4 A uniform flexible string has its ends fixed at x = 0 and x = T. It is acted on by avariable external force such that the equation of motion for t20 is%3!d?y 1dydx2 c2 dt?+ect sinxThe initial conditions are:y(x,0) = 0,= 9 sinx%3DUse the Laplace transform to find y(x,t) for t 20 and 0sxsn.

The given differential equation along with the initial conditions is a classical wave equation with…

0 0 A uniform flexible string has its ends fixed at x = 0 and x = x. It is acted on by a variable external force such that the equation of motion for t 20 is dy 19 d²y = dx2 c2 dt2 + e-ct sinx The initial conditions are: y(x,0) = 0, sinx Use the Laplace transform to find y(x,t) for t 20 and 0 sx sx. b=0 ww D

0 0 A uniform flexible string has its ends fixed at x = 0 and x = x. It is acted on by a variable external force such that the equation of motion for t 20 is dy 19 d²y = dx2 c2 dt2 + e-ct sinx The initial conditions are: y(x,0) = 0, sinx Use the Laplace transform to find y(x,t) for t 20 and 0 sx sx. b=0 ww D