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AMME2000Yongkang XING470019281Section 1: Prepare Work1)Boundary conditions: u(0,t)=0,u(9,t)=Initial condition: u(x,0)=f(x2)i)Define all the parameters:Initial conditions and boundary conditions: 0)0/ssii)Use separation of variables:Governing Equation: 2∂t2u(x,t)=c2∂2∂ x2u(x,t)Assume a solution u(x,t)=F(x)G(t2∂)iii)Solve the resulting ODE for F(x):0)
iv)Solve the resulting ODE for G(t)::
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Trigraph, Boundary value problem, Partial differential equation, utt