1. Section 10.1 Separable Equations I
MAT 1235 Calculus II
Section 10.1
Separable Equations I

2. HW
WebAssign 10.1 Part I

3. Toolbox Approach Given a differential equation
Identify the type/nature of the differential equation.
Use the specified techniques to solve for the solutions.

4. Separable Equations
Technique: Separation of Variables

5. Example 1

6. Remarks
is called the general solutions of the D.E.
2. We can verify the solution by differentiation.

7. Remarks
3. The value of C can be fixed if additional condition is given.
e.g. y(0)=4 (initial condition)

8. Remarks
3. The value of C can be fixed if additional condition is given.
e.g. y(0)=4 (initial condition)
is called the particular solution of the D.E.

9. Solution Curves

10. Example 2

11. Remarks

12. Example 2

13. Example 3

14. Example 3