1. (20%) Una aproximación lineal del flujo isótropo unidimensional de un gas ideal está dada por

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For the A part, the volume expansivity would be given by B is equal to 1 divided by V, dv divide

1. (20%) Una aproximación lineal del flujo isótropo unidimensional de un gas ideal está dada por $u_t + \rho_x = 0$, $u_x + c^2 \rho_t = 0$, donde $u = u(x, t)$ es la velocidad del gas y $\rho = \rho(x, t)$ es su densidad. Demuestre que $u$ y $\rho$ satisfacen la ecuación de onda.