Канал: Differential Equations

power series review

power series review

Lyapunov review

Lyapunov review

Matlab

Matlab

van der Pol

van der Pol

Periodic orbits

Periodic orbits

Applications

Applications

Liapunov's method

Liapunov's method

Justification

Justification

w15p1 overview

w15p1 overview

w14p8 predator prey model

w14p8 predator prey model

w14p7 another competing species

w14p7 another competing species

w14p6 first competing species

w14p6 first competing species

w14p5 linearization

w14p5 linearization

w14p4 determining trajectories

w14p4 determining trajectories

w14p3 non linear example

w14p3 non linear example

w14p2 stability

w14p2 stability

w14p1 overview

w14p1 overview

Lab 5

Lab 5

Case 4: imaginary eigenvalues

Case 4: imaginary eigenvalues

Case 3: equal eigenvalues

Case 3: equal eigenvalues

Case 2: real distinct eigenvalues with opposite sign

Case 2: real distinct eigenvalues with opposite sign

W13 overview

W13 overview

Case 1: real distinct eigenvalues with same sign

Case 1: real distinct eigenvalues with same sign

W12 Jordan form

W12 Jordan form

W12 Repeated eigs

W12 Repeated eigs

W12 Solve ODEs with matrix exp

W12 Solve ODEs with matrix exp

W12 Matrix exponential

W12 Matrix exponential

W12 Fundamental matrix

W12 Fundamental matrix

W12 overview

W12 overview

W11 complex examples

W11 complex examples

W11 Examples 2

W11 Examples 2

W11 P5 Examples 1

W11 P5 Examples 1

W11 P4 theory

W11 P4 theory

W11 intuition

W11 intuition

W11 Basic theorems

W11 Basic theorems

W11 P1 overview

W11 P1 overview

W10 eigenpairs

W10 eigenpairs

W10 Linear dependence

W10 Linear dependence

W10 Solving linear systems

W10 Solving linear systems

W10 Matrices as transformations

W10 Matrices as transformations

W10 Matrices and vectors

W10 Matrices and vectors

W10 Overview

W10 Overview

W8 example of forced spring

W8 example of forced spring

W8 forced string

W8 forced string

W8 nth order ODEs

W8 nth order ODEs

W8 overview

W8 overview

W8 system of ODEs

W8 system of ODEs

W8 with damping

W8 with damping

W8 without damping

W8 without damping

W7 Undetermined coefficients

W7 Undetermined coefficients

W7 variation of parameters

W7 variation of parameters

W7 physical example

W7 physical example

Bifurcations

Bifurcations

W7 overview

W7 overview

W7 nonhomogeneous ODEs

W7 nonhomogeneous ODEs

W6 review of power series

W6 review of power series

W6 Regular singular point

W6 Regular singular point

W6 Power series

W6 Power series

W6 Power series recurrent relation

W6 Power series recurrent relation

W6 Power series full example

W6 Power series full example

W6 Euler equation other roots

W6 Euler equation other roots

W6 Euler Equation distinct roots

W6 Euler Equation distinct roots

W6 repeated roots

W6 repeated roots

W6 reduction of order

W6 reduction of order

W6 Overview

W6 Overview

W5 Complex roots of the characteristic equation

W5 Complex roots of the characteristic equation

W5 Existence Theorems part 2

W5 Existence Theorems part 2

W5 Differential Op and Existence theorems

W5 Differential Op and Existence theorems

W5 Second order ODEs

W5 Second order ODEs

W5 Overview

W5 Overview

W4 Nonlinear Difference Equations

W4 Nonlinear Difference Equations

W4 Visualization

W4 Visualization

W4 Better than Euler

W4 Better than Euler

W4 Difference equations and population dynamics

W4 Difference equations and population dynamics

W4 Overview

W4 Overview

W3 more on Euler

W3 more on Euler

W3 Euler's method

W3 Euler's method

W3 overview

W3 overview

W3 Exact Diff Eqs

W3 Exact Diff Eqs

W3 Population dynamics

W3 Population dynamics

W3 more models

W3 more models

W2 proof details

W2 proof details

W2 Proof overview

W2 Proof overview

W2 Existence and uniqueness general case

W2 Existence and uniqueness general case

W2 proof details

W2 proof details

W2 Existence and uniqueness linear case

W2 Existence and uniqueness linear case

W2 applications of separable ODEs

W2 applications of separable ODEs

W2 Separable ODEs

W2 Separable ODEs

W2 Overview

W2 Overview

W1 first order linear ODEs

W1 first order linear ODEs

W1 overview

W1 overview

W1 direction fields

W1 direction fields

W1 classification

W1 classification

welcome video

welcome video