A Bernoulli equation
is a first-order equation of the form
The problem of solving equations of this type was posed by James Bernoulli in 1695. A year later, in 1696, G. Leibniz showed that it can be reduced to a linear equation by a change of variable.
In general, the solution to a Bernoulli equation will consist of n-1
branches, where n
is the degree of y (x)
in the equation.