How do I solve these:
From the first equation:
From the second equation:
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Well, you have two equations in three unknown functions. In general, that is not enough.
Found what I was looking for. Helmholtz's Theorem -- from Wolfram MathWorld
You realize, I hope, that that does NOT answer your original question. That simply asserts that your v can be written as but the formulas for and A are given in terms of v.
and are given in terms of the divergence and the curl of , which I know.
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