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Quick question. I know that all 4 Maxwell's equations are said to be first-order, coupled PDEs, where each equation has an unknown field. I see that with Faraday's and Ampere's law, because, E and H appear in each of those equations.

But Gauss' laws, I'm not seeing that, since they're both equal to electric/magnetic charge densities (or 0 in the case of the magnetic law due to there not being magnetic monopoles).

So, are Gauss' laws coupled? And do they still have the unknown fields? Sorry I am not seeing this. I just need a quick "reality check" here.

Thanks!

VV5

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# Coupled PDEs - all 4 Maxwell's equations?

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