Chapter 5 Laplace Transforms 5 1 Laplace Transform

單元架構 5 -1 Laplace Transform , Inverse Transform 5 -2 Transforms of Derivatives and

5. 1 Laplace Transform , Inverse Transform 標學習目學習完本小節後，您將能： 1. 能了解Laplace Transform ,

Basic Concepts Solve Differential equation and corresponding initial and Boundary value problems. Three steps:

5. 2 Transforms of Derivatives and Integrals Differential Equations. 標學習目學習完本小節後，您將能： 1. 能理解Transforms

5. 3 Unit step Function , Second shifting theorem Dirac’s Delta Function. 標學習目

5. 4 Dirac’s Delta Function : short impulse 標學習目學習完本小節後，您將能： 1. 能說出什麼是Dirac’s Delta

5. 5 Systems of Differential Equations a first-order linear system 標學習目學習完本小節後，您將能： 1.

Basic Concepts Practice: (1) System coupled ODES <77 台大> By the Laplace Transform, Find

Basic Concepts <95北科大有機高分子> 由(1)式兩邊同時取Laplace Transform 先將就是做Laplace Transform後再對s微分做的Laplace Transform

Slides: 52

Download presentation

程數學 Chapter 5 Laplace Transforms 楊學成老師

單元架構 5 -1 Laplace Transform , Inverse Transform 5 -2 Transforms of Derivatives and Integrals Differential Equations. 5 -3 Unit step Function , Second shifting theorem Dirac’s Delta Function. 5 -4 Dirac’s Delta Function : short impulse 5 -5 Systems of Differential Equations a first-order linear system

5. 1 Laplace Transform , Inverse Transform 標學習目學習完本小節後，您將能： 1. 能了解Laplace Transform , Inverse Transform 原理 2. 能具體說明Laplace Transform , Inverse Transform的定義 3. 能寫出Laplace Transform , Inverse Transform型態 4. 能進行Laplace Transform , Inverse Transform的運算

Basic Concepts Solve Differential equation and corresponding initial and Boundary value problems. Three steps: 1. Transform the given problem into a simple equation. 2. Algebraic manipulations. 3. Inverse transform.

Basic Concepts

5. 2 Transforms of Derivatives and Integrals Differential Equations. 標學習目學習完本小節後，您將能： 1. 能理解Transforms of Derivatives and Integrals Differential Equations. 概念 2. 能寫出Transforms of Derivatives and Integrals Differential Equations. 3. 能進行Transforms of Derivatives and Integrals Differential Equations. 的運算

Basic Concepts

5. 3 Unit step Function , Second shifting theorem Dirac’s Delta Function. 標學習目學習完本小節後，您將能： 1. 能說出什麼是Unit step Function 2. 能運用Unit step Function , Second shifting theorem Dirac Delta Function運算 3. 能解出Unit step Function , Second shifting theorem Dirac Delta Function的方程式

Basic Concepts

5. 4 Dirac’s Delta Function : short impulse 標學習目學習完本小節後，您將能： 1. 能說出什麼是Dirac’s Delta Function : short impulse 2. 能具體說明Dirac’s Delta Function : short impulse 3. 能進行Dirac’s Delta Function : short impulse的運算

Basic Concepts

5. 5 Systems of Differential Equations a first-order linear system 標學習目學習完本小節後，您將能： 1. 能說出理解什麼是Systems of Differential Equations a first-order linear system 2. 能計算基本Systems of Differential Equations a firstorder linear system方程式 3. 能進階解出Systems of Differential Equations a firstorder linear system相關方程式

Basic Concepts