All episodes of 微分方程 Differential Equations

微分方程 Differential Equations

Episodes

1.2 Mixed Problem & 1.3 Slope Field

Published 10/27/15

課程介紹

Published 10/27/15

3.5 to complete & 3.6 2nd order linear system and 2D linear system

Published 10/27/15

2.6 & 2.7 &2.8

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)

Published 10/27/15

To complete chapter 3 & 3.7 & 3.8

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

Published 10/27/15

Continue nonlinear 2nd order ode

Published 10/27/15

Special case for solving problems

Published 10/27/15

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

Published 10/27/15

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

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

Published 10/27/15

Practical Problem

Published 10/27/15

Complete Chapter 1

Published 10/27/15

3.7 Trace - Determinant Plane

Published 10/27/15

To complete 3.6

Published 10/27/15

To complete 3.5

Published 10/27/15

3.5 Special cases of Linear systems

Published 10/27/15

3.2 & 3.3 & 3.4

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

Published 10/27/15

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

Published 10/27/15

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

Published 10/27/15

3.1 線性理論

Published 10/27/15

1.2 ODE Big Picture

Published 10/27/15

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

Published 10/27/15

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

Published 10/27/15

1st order linear system: 量的分析

Published 10/27/15

Big Picture for ODE

Published 10/27/15

1st order linear system

Published 10/27/15