1. Section 10.4 Linear Equations
MAT 1235 Calculus II
Section 10.4
Linear Equations

2. HW and …
WebAssign 10.4

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

4. Recall: Separable Equations
Technique: Separation of Variables

5. Linear (First Order) D.E.
Technique: Multiply both side by the integrating factor
It simplifies the left side of the D.E.

6. Example 1

7. Remarks
1. Verify is the general solutions.
2. Q: Why not using ?
Q: What was the last time we “ignore” the integration constant and why?

8. Example 2
Q: Is this a linear first order D.E.?

9. Classwork A D.E. can be solved by an integrating factor, and
Separation of Variables.