

lecture
Lecture 33: Relation Between Nonlinear Systems and Firstorder ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle
as author at MIT 18.03 Differential Equations  Spring 2006,
7620 views




lecture
Lecture 32: Limit Cycles: Existence and Nonexistence Criteria
as author at MIT 18.03 Differential Equations  Spring 2006,
16251 views



lecture
Lecture 31: Nonlinear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Nonlinear Pendulum
as author at MIT 18.03 Differential Equations  Spring 2006,
9307 views




lecture
Lecture 30: Decoupling Linear Systems with Constant Coefficients
as author at MIT 18.03 Differential Equations  Spring 2006,
6750 views



lecture
Lecture 29: Matrix Exponentials; Application to Solving Systems
as author at MIT 18.03 Differential Equations  Spring 2006,
6259 views




lecture
Lecture 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters
as author at MIT 18.03 Differential Equations  Spring 2006,
7456 views



lecture
Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
as author at MIT 18.03 Differential Equations  Spring 2006,
7331 views




lecture
Lecture 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
as author at MIT 18.03 Differential Equations  Spring 2006,
7367 views



lecture
Lecture 25: Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case)
as author at MIT 18.03 Differential Equations  Spring 2006,
9844 views




lecture
Lecture 24: Introduction to Firstorder Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System
as author at MIT 18.03 Differential Equations  Spring 2006,
7300 views



lecture
Lecture 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
as author at MIT 18.03 Differential Equations  Spring 2006,
10466 views




lecture
Lecture 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs
as author at MIT 18.03 Differential Equations  Spring 2006,
10911 views



lecture
Lecture 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
as author at MIT 18.03 Differential Equations  Spring 2006,
15277 views




lecture
Lecture 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's
as author at MIT 18.03 Differential Equations  Spring 2006,
14758 views



lecture
Lecture 19: Introduction to the Laplace Transform; Basic Formulas
as author at MIT 18.03 Differential Equations  Spring 2006,
36703 views




lecture
Lecture 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds
as author at MIT 18.03 Differential Equations  Spring 2006,
8260 views



lecture
Lecture 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension
as author at MIT 18.03 Differential Equations  Spring 2006,
9400 views




lecture
Lecture 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi)
as author at MIT 18.03 Differential Equations  Spring 2006,
25815 views



lecture
Lecture 14: Interpretation of the Exceptional Case: Resonance
as author at MIT 18.03 Differential Equations  Spring 2006,
7135 views




lecture
Lecture 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials
as author at MIT 18.03 Differential Equations  Spring 2006,
8119 views



lecture
Lecture 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constantcoefficient ODE's
as author at MIT 18.03 Differential Equations  Spring 2006,
7523 views




lecture
Lecture 11: Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
as author at MIT 18.03 Differential Equations  Spring 2006,
8110 views



lecture
Lecture 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations
as author at MIT 18.03 Differential Equations  Spring 2006,
8309 views




lecture
Lecture 9: Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases
as author at MIT 18.03 Differential Equations  Spring 2006,
10149 views



lecture
Lecture 8: Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models
as author at MIT 18.03 Differential Equations  Spring 2006,
8039 views




lecture
Lecture 7: Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
as author at MIT 18.03 Differential Equations  Spring 2006,
10268 views



lecture
Lecture 6: Complex Numbers and Complex Exponentials
as author at MIT 18.03 Differential Equations  Spring 2006,
15584 views




lecture
Lecture 5: Firstorder Autonomous ODE's: Qualitative Methods, Applications
as author at MIT 18.03 Differential Equations  Spring 2006,
10431 views



lecture
Lecture 4: Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's
as author at MIT 18.03 Differential Equations  Spring 2006,
13515 views




lecture
Lecture 3: Solving Firstorder Linear ODE's; Steadystate and Transient Solutions
as author at MIT 18.03 Differential Equations  Spring 2006,
18265 views



lecture
Lecture 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations
as author at MIT 18.03 Differential Equations  Spring 2006,
21335 views




event
MIT 18.03 Differential Equations  Spring 2006
as author at MIT 18.03 Differential Equations  Spring 2006,
105702 views



lecture
Lecture 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves
as author at MIT 18.03 Differential Equations  Spring 2006,
52552 views

