a really hard one here. would appreciate if you could start me off:

a physical system is governed by the following:

curlE= ,

divB= 0,

curlB = J+ ,

divE =

where t = time, and time derivatives commute with

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how could you show that + divJ = 0when and

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J =0 everywhere how can you show that:

= 0

and

= 0