Chapter 5.7 - Differential Equations: Separation of Variables
Objectives:
- Use initial conditions to find particular solutions of differential equations.
- Recognize and solve differential equations that can be solved by separation of variables.
- Recognize and solve homogeneous differential equations.
- Use a differential equation to model and solve an applied problem.
- Use slope fields to visualize the general solutions to differential equations
Separation of Variables (for Day #57 lesson)
Separation of Variables (for Day #57 lesson)
Although not necessarily obvious, this process for solving differential equations is the counterpart to implicit differentiation.
Slope Fields (for Day #62 lesson)
Slope Fields (for Day #62 lesson)
We haven't yet moved on past differential equations and the "separation of variables" method. Here we get a glimpse into how slope fields give us some insight into the solution even before we do any of these Calculus techniques.
For "Asynchronous Distance Learning" 2020: Here is a supplemental video briefly summarizing what we would have done during an in-person class.
Go to next page, Chapter 6.1.