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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. Learn the Bernoulli s equation relating the driving pressure and the velocities of fluids in motion.

There are generally two types of differential equations used in engineering analysis. These are: 1. Ordinary differential equations (ODE): Equations with functions that involve only one variable and with different order s of “ordinary” derivatives , and 2. Partial differential equations (PDE): Equati ons with functions that involve more ...

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