Lecture 03: Solving first-order linear ODE's; steady-state and transient solutions

Lecture 02: Euler's numerical method for y'=f(x,y) and its generalizations

Lecture 28: Matrix methods for inhomogeneous systems: theory, fundamental matrix, variation of parameters

Lecture 23: Use with impulse inputs; Dirac delta function, weight and transfer functions

Lecture 33: Relation between non-linear systems and first-order ODE's; structural stability of a system

Lecture 27: Sketching solutions of 2x2 homogeneous linear system with constant coefficients

Lecture 32: Limit cycles: existence and non-existence criteria

Lecture 26: Continuation: repeated real eigenvalues, complex eigenvalues

Lecture 31: Non-linear autonomous systems: finding the critical points and sketching trajectories;  the non-linear pendulum

Lecture 30: Decoupling linear systems with constant coefficients

Video Quality?

Great lectures!!!!!
But where is chapter 18?

Thanks!!

Differential Equations, Spring 2006

Lecture 21: Convolution formula: proof, connection with Laplace transform, application to physical problems

Lecture 25: Homogeneous linear systems with constant coefficients:  solution via matrix eigenvalues (real and distinct case)

Lecture 24: Introduction to first-order systems of ODE's; solution by elimination, geometric interpretation of a system

Lecture 20: Derivative formulas; using the Laplace transform to solve linear ODE's

Lecture 29: Matrix exponentials; application to solving systems

Lecture 19: Introduction to the Laplace transform; basic formulas

Lecture 22: Using Laplace transform to solve ODE's with discontinuous inputs

Lecture 17: Finding particular solutions via Fourier series; resonant terms;hearing musical sounds

Lecture 16: Continuation: more general periods; even and odd functions; periodic extension

Lecture 15: Introduction to Fourier series; basic formulas for period 2(pi)

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