Math 2.0

Ordinary differential equations Elementary methods of solution Concept

Bernoulli equation

Summary

A Bernoulli equation is a first-order equation y′+P(x)y=Q(x)yny' + P(x) y = Q(x) y^n. The substitution v=y1−nv = y^{1-n} changes it into a linear equation. See the definition.

Remarks

Jacob Bernoulli discussed the equation in 1695. Leibniz published a solution in the same year.

Further reading

  1. Web https://en.wikipedia.org/wiki/Bernoulli_differential_equation, lead section
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