Solved: Equal curls If two functions of one variable, f

Chapter 14, Problem 66

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Equal curls If two functions of one variable, f and g, have the property that f _ = g_, then f and g differ by a constant. Prove or disprove: If F and G are nonconstant vector fields in _2 with curl F = curl G and div F = div G at all points of _2, then F and G differ by a constant vector.

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