Lesson Plan: Indefinite Integrals and Initial Value Problems Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use integration to find particular solutions to initial value problems involving differential equations of the form 𝑦′ = 𝑓(𝑥).
Objectives
Students will be able to
- use integration to solve differential equations of the form ,
- substitute initial values into a general solution to find a particular solution.
Prerequisites
Students should already be familiar with
- integrating polynomial and trigonometric functions,
- integrating simple rational and radical functions.
Exclusions
Students will not cover
- more difficult differential equations.
