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Bernoulli's Differential Equation

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Bernoulli's differential equation has the form where or .

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Dividing by , we get .

Substituting and , we get the linear differential equation .

This Demonstration shows Bernoulli's equation and solutions for a few choices of and . Each equation has a family of solutions parametrized by the parameter .

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Contributed by: Izidor Hafner (May 2012)
Open content licensed under CC BY-NC-SA

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