The difference between Well-behaved and Well-posed
When used as adjectives, well-behaved means having good manners and acting properly, whereas well-posed means having a unique solution whose value changes only slightly if initial conditions change slightly.
check bellow for the other definitions of Well-behaved and Well-posed
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Well-behaved as an adjective (of a person or animal):
Having good manners and acting properly; conforming to standards of good behaviour
Examples:
"The boy is well-behaved and is seldom naughty."
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Well-behaved as an adjective (mathematics):
Having intuitive, easy to handle properties, especially: having a finite derivative of all orders at all points, and having no discontinuities.
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Well-posed as an adjective (maths):
Having a unique solution whose value changes only slightly if initial conditions change slightly