First order ODEs

Bernouli differential equations

A Bernouli ODE is a first-order, non-linear ODE with the standard form

which in the case of is a First-order linear differential equation; and for is a separable differential equation. In all other cases, the ODE may be made linear by using a -substitution:

which when entered into the original ODE gives

which is linear for .

Practice problems

• https://tutorial.math.lamar.edu/Classes/DE/Bernoulli.aspx
• 2016. Calculus, p. 665 (§9.5 exercises 23–25)

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