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Shearer Ch.3 Problem #7 (25 pts)In the case of plane-wave propagation in the x direction within a uniform medium, the homogeneous momentum equation (3.9) for shear waves can be expressed as∂2u∂t2=β2∂2u∂x2,where u is the displacement. Write a computer program that uses finite differences to solve this equation for a bar 100 km in length, assuming β = 4 km/s. Use dx = 1 km for the length spacing and dt = 0.1 s for the time spacing. Assume a source-time function at u(50 km) of the formu50(t)=sin2⁡(πt5),0

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