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(Solved): Show that: u(x,t)=u_(0)sin((\pi x)/(l))cos((\pi ct)/(l)) is a solution to the 1-dimensional wave equ ...
Show that:
u(x,t)=u_(0)sin((\pi x)/(l))cos((\pi ct)/(l))
is a solution to the 1-dimensional wave equation:
(del^(2)u)/(delx^(2))=(1)/(c^(2))(del^(2)u)/(delt^(2))u_(0),l and c are constants