Bernoulli differential equation

He solved these examples and others using infinite series and discussed the non-uniqueness of solutions.

Jacob Bernoulli proposed- the Bernoulli differential equation in 1695.

This is an ordinary differential equation, an ODE, and it has the form y prime plus p of xy equals q of xy to the n, for which the following year Leibniz obtained solutions by simplifying it.

Historically, the problem of a vibrating string such as that of a musical instrument was studied by Jean le Rond d'Alembert, Leonhard Euler, Daniel Bernoulli, and Joseph Louis Lagrange.