Differential Equations › Section B · First order differential equations › Topic B.4
Bernoulli equations
A Bernoulli equation looks like a linear equation spoiled by one nonlinear term. A single change of variable removes the damage and turns it into a linear equation you already know how to solve.
In this topic
- Nonlinear, but only just
- The Bernoulli form
- The substitution
- Worked example: n = 2
- Worked example: the logistic equation again
- Worked example: a fractional power
- Signs, roots and lost solutions
- Recognising a Bernoulli equation
- Common mistakes to avoid
- Key takeaways
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