Mathematics, 01.07.2021 20:40 chrisssrutter

The wave equation u_tt = u_xx , is given in the range t > 0 , x∈ |0, π| , with Dirichlet boundary conditions, u(0, t) = 0 , u( π ,t) = 0 . a. Find the general solution of the problem.
b. Identify the particular solution obeying the initial conditions:
u(x,0) = sin(x) , u_t( x ,0) = 2sin(x) - 3sin(2x)

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The wave equation u_tt = u_xx , is given in the range t > 0 , x∈ |0, π| , with Dirichlet boundary...