Find a first-order differential equation having the family

as integral curves.

Since we can differentiate both sides with respect to to get

Thus, the first-order differential equation

has the given family as integral curves.

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Stumbling Robot

A Fraction of a Dot
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Find a first-order differential equation having the family *xy = C* as integral curves

Find a first-order differential equation having the family

as integral curves.

Since we can differentiate both sides with respect to to get

Thus, the first-order differential equation

has the given family as integral curves.