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)

Although not necessarily obvious, this process for solving differential equations is the counterpart to implicit differentiation.

Slope Fields (for Day #61 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.