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what is the general wave equation. As in the one dimensional situation the constant c has the units of velocity. The homogeneous solution is the solution to the equation when the RHS is equal to zero with all the derivatives placed on the LHS as in your very first equation.
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The wave vector represents the momentum of the wave. The wave equation 730 is linear. These are called left-traveling and right-traveling because while the overall shape of the wave remains constant the wave translates to the left or right in time.
In the absence of specific boundary conditions there is no restriction on the possible wavenumbers of such solutions.
G x v t g x-vt gx vt. The simplest wave is the spatially one-dimensional sine wave or harmonic wave or sinusoid with an amplitude u described by the equation. The wave equation 730 is linear. A non-zero center amplitude D.
