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Chapter 7 First-order Differential Equations

Chapter 7 Application of First-order Differential Equations in Engineering Analysis( Chapter 7 first order DEs) Tai-Ran Hsu*Based on the book of Applied Engineering Analysis , by Tai-Ran Hsu, published byJohn Wiley & Sons, 2018 Applied Engineering Analysis- slides for class teaching* Chapter Learning Objectives Learn to solve typical first order ordinary Differential Equations of both homogeneous and non homogeneous types with or without specified conditions . Learn the definitions of essential physical quantities in fluid mechanics analyses.

where c is the integration constant to be determined by given specified condition for the problem. Example 7.1 Solve the following first order ordinary differential equation: 4 ( ) 2 u dx du x x By re‐arranging the terms in the DE into the separated form with the LHS involving the

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