1. Warm Up

2. 7.4 A – Separable Differential Equations Use separation and initial values to solve differential equations.

3. Definition

4. Steps 1.Group all y’s on one side of the equation with dy. 2.Group all the x’s on the other side with dx. 3.Integrate both sides with respect to their variable. 4.Note* Only one constant (C) is needed. 5.Apply the initial condition and solve for C. 6.Plug C back in, and solve for y. 7.Your goal is to get an equation in the form y=h(x) 8.Find the domain.

5. Example

6. Sol.

9. To find the domain:

10. You try!

11. Example 2

12. Sol.

13. Homework Only 1-10.