Section 10.4 Linear Equations

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Presentation transcript:

Section 10.4 Linear Equations MAT 1235 Calculus II Section 10.4 Linear Equations http://myhome.spu.edu/lauw

HW and … WebAssign 10.4

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

Recall: Separable Equations Technique: Separation of Variables

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

Example 1

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?

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

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