Lesson Plan: Bernoulli’s Differential Equation
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve Bernoulli’s differential equation, which has the form 𝑦′ + 𝑝(𝑥)𝑦 = 𝑞(𝑥)𝑦^𝑛, by reducing it to a linear differential equation.
Objectives
Students will be able to
- solve Bernoulli’s differential equation.
Prerequisites
Students should already be familiar with
- linear ODEs,
- separable ODEs.
Exclusions
Students will not cover
- differential equations that are not of Bernoulli type.