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)

The best podcast episodes on Startups. For anyone working in a startup, or anyone interested in the incredible stories behind how people built companies like Instagram, and Facebook. Offering both practical advice and insights, as well as the stories for how many of the biggest startups got to where they are today. Add episodes you're interested into your queue below!

OwlTail

Best Startups Podcasts

The best podcasts on investing. For anyone interested in the stories in the investing industry, whether it's an interview with Ray Dalio or Ed Thorp to the writer of The Big Short. This topic includes the most fascinating stories from all the best investors. Add episodes you're interested into your queue below!

Best Investing Podcasts