Solve the PDE of third order by using separation variables method

u_tt+c^2 u_xxx=0 0<x<l t>0the conditionsu(0,t)=u(l,t)=0u_xx(0,t)=u_xx(l,t)=0u(x,0)=f(x), u_t (x,0)=g(x)

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