I am trying to solve the beam equation ρA(∂^2y/∂t^2) + EI(∂^4y/∂x^4)+ P(∂^2y/∂x^2) = 0 with the following boundary conditions:
- y(0,t) = 0
- ∂y/∂x(0,t) = 0
- ∂^2y/∂x^2(L,t) = 0
- ∂^3y/∂x^3(L,t) = 0
where x ∈ [0,L] and ρ, A, E, I, P are constants.
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