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Lecture 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves
as author at MIT 18.03 Differential Equations - Spring 2006,
52695 views
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Lecture 19: Introduction to the Laplace Transform; Basic Formulas
as author at MIT 18.03 Differential Equations - Spring 2006,
36765 views
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Lecture 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi)
as author at MIT 18.03 Differential Equations - Spring 2006,
25829 views
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Lecture 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations
as author at MIT 18.03 Differential Equations - Spring 2006,
21365 views
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Lecture 3: Solving First-order Linear ODE's; Steady-state and Transient Solutions
as author at MIT 18.03 Differential Equations - Spring 2006,
18289 views
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Lecture 32: Limit Cycles: Existence and Non-existence Criteria
as author at MIT 18.03 Differential Equations - Spring 2006,
16329 views
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Lecture 6: Complex Numbers and Complex Exponentials
as author at MIT 18.03 Differential Equations - Spring 2006,
15599 views
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Lecture 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
as author at MIT 18.03 Differential Equations - Spring 2006,
15283 views
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Lecture 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's
as author at MIT 18.03 Differential Equations - Spring 2006,
14764 views
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Lecture 4: First-order Substitution Methods: Bernouilli and Homogeneous ODE's
as author at MIT 18.03 Differential Equations - Spring 2006,
13533 views
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Lecture 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs
as author at MIT 18.03 Differential Equations - Spring 2006,
10914 views
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event
MIT 18.03 Differential Equations - Spring 2006
as author at MIT 18.03 Differential Equations - Spring 2006,
105702 views
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Lecture 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
as author at MIT 18.03 Differential Equations - Spring 2006,
10472 views
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Lecture 5: First-order Autonomous ODE's: Qualitative Methods, Applications
as author at MIT 18.03 Differential Equations - Spring 2006,
10444 views
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Lecture 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
as author at MIT 18.03 Differential Equations - Spring 2006,
10283 views
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Lecture 9: Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases
as author at MIT 18.03 Differential Equations - Spring 2006,
10164 views
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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,
9850 views
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Lecture 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension
as author at MIT 18.03 Differential Equations - Spring 2006,
9406 views
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Lecture 31: Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum
as author at MIT 18.03 Differential Equations - Spring 2006,
9313 views
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Lecture 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations
as author at MIT 18.03 Differential Equations - Spring 2006,
8320 views
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Lecture 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds
as author at MIT 18.03 Differential Equations - Spring 2006,
8266 views
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Lecture 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials
as author at MIT 18.03 Differential Equations - Spring 2006,
8125 views
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Lecture 11: Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
as author at MIT 18.03 Differential Equations - Spring 2006,
8115 views
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Lecture 8: Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
as author at MIT 18.03 Differential Equations - Spring 2006,
8052 views
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Lecture 33: Relation Between Non-linear Systems and First-order 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,
7629 views
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lecture
Lecture 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constant-coefficient ODE's
as author at MIT 18.03 Differential Equations - Spring 2006,
7527 views
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Lecture 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters
as author at MIT 18.03 Differential Equations - Spring 2006,
7462 views
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Lecture 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
as author at MIT 18.03 Differential Equations - Spring 2006,
7371 views
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Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
as author at MIT 18.03 Differential Equations - Spring 2006,
7334 views
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lecture
Lecture 24: Introduction to First-order Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System
as author at MIT 18.03 Differential Equations - Spring 2006,
7304 views
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Lecture 14: Interpretation of the Exceptional Case: Resonance
as author at MIT 18.03 Differential Equations - Spring 2006,
7140 views
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Lecture 30: Decoupling Linear Systems with Constant Coefficients
as author at MIT 18.03 Differential Equations - Spring 2006,
6755 views
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Lecture 29: Matrix Exponentials; Application to Solving Systems
as author at MIT 18.03 Differential Equations - Spring 2006,
6261 views
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Springer,
