微分方程 Differential Equations

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●Mathematical models as differential Equations – qualitative and quantative analysis. ●First order differential equations. ●Second order linear differential equations. ●Higher order linear differential equations. ●Second order nonlinear differential equations – pendulum motion.

應用數學系李榮耀老師

Oct 26, 2015 LATEST EPISODE
infrequent NEW EPISODES
1h 8m AVG DURATION
30 EPISODES

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Latest episodes from 微分方程 Differential Equations

2.6 存在與唯一性(for 1st order system) 2.7 (假的) 3D-system (流行病傳染問題) 2.8 (真的) 3D-system (氣象預報簡化系統: Lorenz equation)

3d lorenz

To complete chapter 3 & 3.7 & 3.8

Play Episode Listen Later Oct 26, 2015 112:43

3.7 Part II: T-D plane 3.8 3D linear system

Continue nonlinear 2nd order ode

Play Episode Listen Later Oct 26, 2015 98:31

nonlinear

Special case for solving problems

Play Episode Listen Later Oct 26, 2015 42:33

solving problems

1.5 IVP解: 存在性與唯一性 & 1.6 質分析, phase line(for autonomous system)

Play Episode Listen Later Oct 26, 2015 92:37

system phase autonomous

Non-linear 2nd order ode & Nonlinear 2nd order equations

Play Episode Listen Later Oct 26, 2015 59:56

Non-linear 2nd order ode: --Pendulum motion --Pendulum motion and spring motion --Differences of phase portraits between linear and

differences pendulum nonlinear equations

Practical Problem

Play Episode Listen Later Oct 26, 2015 93:59

practical

Complete Chapter 1

Play Episode Listen Later Oct 26, 2015 104:32

3.7 Trace - Determinant Plane

Play Episode Listen Later Oct 26, 2015 60:42

plane determinant

To complete 3.6

Play Episode Listen Later Oct 26, 2015 55:18

To complete 3.5

Play Episode Listen Later Oct 26, 2015 59:16

3.5 Special cases of Linear systems

Play Episode Listen Later Oct 26, 2015 56:27

linear special cases

3.2 & 3.3 & 3.4

Play Episode Listen Later Oct 26, 2015 92:11

3.2 Straight-Line Solutions 3.3 Phase Portraits for Linear Systems with Real Eigenvalues 3.4 complex valued eigenvalues

2.2 Geometry of the system(by vector field) & 2.3 Damped harmonic oscillator

Play Episode Listen Later Oct 26, 2015 105:14

system field geometry vector harmonic oscillator

3.2 Straight-Line Solutions & 3.3 Phase Portraits for Linear Systems with Real Eigenvalues

Play Episode Listen Later Oct 26, 2015 54:05

phase portraits linear straight line eigenvalues

3.1 線性理論

Play Episode Listen Later Oct 26, 2015 57:57

1.2 ODE Big Picture

Play Episode Listen Later Oct 26, 2015 96:46

big picture

2.4 Special systems(solutions can be solved explicitly) & 2.5 Euler’s method for 1st order system

Play Episode Listen Later Oct 26, 2015 58:40

system method solved euler explicitly

Chapter 2: 1st order system and 2nd order equation

Play Episode Listen Later Oct 26, 2015 59:09

system equation

1st order linear system: 量的分析

Play Episode Listen Later Oct 26, 2015 92:30

system linear

Big Picture for ODE

Play Episode Listen Later Oct 26, 2015 79:00

big picture

1st order linear system

Play Episode Listen Later Oct 26, 2015 56:34

system linear

1.7 Bifurcation and one supplement for 1.6(real problem)

Play Episode Listen Later Oct 23, 2015 50:19

supplement real problem bifurcation

1.3 Slope Field & 1.4 Numerical Technique

Play Episode Listen Later Oct 23, 2015 57:22

field technique slope numerical

Two more“derivation”of math models

Play Episode Listen Later Oct 22, 2015 39:21

--Predator-Prey problem --Deposit and Withdraw problem

math models deposit withdraw derivation predator prey

2nd order linear equation with constant coefficeints

Play Episode Listen Later Oct 22, 2015 32:10

constant equation linear

Introduction of ODE

Play Episode Listen Later Oct 22, 2015 25:49

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