I am having trouble understanding the solution to the wave equation:(adsbygoogle = window.adsbygoogle || []).push({});

this is thought of as the final solution to the PDE:

but I see that:

is a solution to the function. But what I dont get is why D'Alembert's Solution isn't in terms of sines and cosines like that solution right above.

Is it because D'Albemerts is a gereneral solution, and the other is a specific solution? If so, still how come the general solution to the problem isn't expressed as a wave, and instead of some arbitrary function g(x-ct)?

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# Wave equation, D'Alembert's Solution

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