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Gauss' law: âˆ‡ â— E = Ï/Îµ0,

Gauss' law for magnetism: âˆ‡ â— B = 0,

Maxwell-Faraday equation: âˆ‡ X E =-âˆ‚B/âˆ‚t,

AmpÃ¨re's circuital law with Maxwell's correction: âˆ‡ X B = Î¼0J + Î¼0Îµ0âˆ‚E/âˆ‚t,

where E is the electric field, Ï is the charge density, Îµ0 is the electric constant, B is the magnetic field, t is time, Î¼0 is the magnetic constant, and J is the current density.

Q: What is the differential form of Maxwell's equations?

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Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.

Differential equations were invented separately by Isaac Newton and Gottfried Leibniz. This debate on who was the first one to invent it was argued by both Isaac and Gottfried until their death.

Differential equations are equations involve rates of change (differentials). These rates of change are usually shown in the equations as a variable prefixed by a d (e.g. dx for the rate of change of the variable x). The same notation is also used in integration, but the integrand symbol is also added in such equations.

Calc 2, then Calc 3, then usually Differential Equations

Some partial differential equations do not have analytical solutions. These can only be solved numerically.

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