Chapter 7 First-order Differential Equations

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Chapter 7Application 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, 2018Applied 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. Learn the Bernoulli s equation relating the driving pressure and the velocities of fluids in motion.

7.2.1 Solution Methods for Separable First Order ODEs ( ) g x dx du x h u Typical form of the first order differential equations: (7.1) in which h(u) and g(x) are given functions. By re‐arranging the terms in Equation (7.1) the following form with the left‐hand‐side (LHS)

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