Question

Bernoulli's differential equation can be solved using various methods. What is the order of a Bernoulli differential equation?

a) First order
b) Second order
c) Third order
d) Fourth order

Answer 1

A Bernoulli differential equation is first order, meaning it contains only the first derivative.

Step-by-step explanation:

The order of a Bernoulli differential equation is first order. This means that the highest derivative that appears in the equation is the first derivative, not the second, third, or fourth derivative. Bernoulli's differential equation is specific to the form that can be written as dy/dx + P(x)y = Q(x)yn, where n is any real number, which is often transformed using a substitution to solve. This type of equation is broadly applicable in various mathematical contexts, particularly in solving problems related to differential equations.