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is it possible for one to assume a straight-line propagation of an e.m. wave and constant velocity c? If so, is it possible to simplify the wave equation

u_{tt}=c^{2}u_{xx}

by expressing the spatial variable x through the time variable t?

x must be a function of t, since the motion is rectilinear with constant c.

Then, x = x(t) and x is no longer independent variable. Then the above PDE should be rewritten in terms of t only, since u(x,t)=u(x(t),t)=u(t)

Does this make sense?

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# Question about the wave equation

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