

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,
10763 views




lecture
Lecture 19: Introduction to the Laplace Transform; Basic Formulas
as author at MIT 18.03 Differential Equations  Spring 2006,
8393 views



lecture
Lecture 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi)
as author at MIT 18.03 Differential Equations  Spring 2006,
6504 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,
3182 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,
2798 views




lecture
Lecture 3: Solving Firstorder Linear ODE's; Steadystate and Transient Solutions
as author at MIT 18.03 Differential Equations  Spring 2006,
2727 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,
2606 views




lecture
Lecture 6: Complex Numbers and Complex Exponentials
as author at MIT 18.03 Differential Equations  Spring 2006,
2470 views



lecture
Lecture 32: Limit Cycles: Existence and Nonexistence Criteria
as author at MIT 18.03 Differential Equations  Spring 2006,
1943 views




lecture
Lecture 4: Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's
as author at MIT 18.03 Differential Equations  Spring 2006,
1668 views



lecture
Lecture 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs
as author at MIT 18.03 Differential Equations  Spring 2006,
1650 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,
1566 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,
1481 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,
1323 views



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




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,
1185 views



lecture
Lecture 5: Firstorder Autonomous ODE's: Qualitative Methods, Applications
as author at MIT 18.03 Differential Equations  Spring 2006,
1141 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,
1048 views



lecture
Lecture 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension
as author at MIT 18.03 Differential Equations  Spring 2006,
893 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,
841 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,
832 views




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,
807 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,
798 views




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



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




lecture
Lecture 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
as author at MIT 18.03 Differential Equations  Spring 2006,
714 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,
713 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,
637 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,
555 views




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



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




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



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

