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7.28, §2 P.D.E. Model

Finite domain :
Unknown pressure u=u(x,t)
Hyperbolic
Two initial conditions
One homogeneous Neumann boundary condition at x=0 and one homogeneous Dirichlet condition at .
Constant speed of sound a and much smaller flow velocities.

Try separation of variables:

Next: 7.28, §3 Eigenfunctions Up: 7.28 Previous: 7.28, §1 Asked