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5. By direct substitution into the differential equation given in class, show that the pressure wave p(=,t) = po cos[w(t--/c)] satisfies the one-dimensional, time-domain
5. By direct substitution into the differential equation given in class, show that the pressure wave p(=,t) = po cos[w(t--/c)] satisfies the one-dimensional, time-domain wave equation. [2 pts] 6. A continuous, single-frequency sound wave emanates from the position (1=0 mm, ==0 mm). The pressure amplitude at position (1=0 mm, ==10 mm) is 1 kPa. What is the pressure amplitude at the position (1=0 mm, ==100 mm) if the sound wave is (a) spherically spreading, or (b) a plane wave propagating in the + direction? [2 pts] 7. Sketch a waveform g(t) of your choice, covering the span 1 s One-dimensional (plane wave) wave equation: ap(z, t) dz 12p(z, t) c2 at 0
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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