 68 avsnitt

Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB ODE suite. # Learn Differential Equations: Up Close with Gilbert Strang and Cleve Mole‪r‬ MIT

• Utbildning

Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB ODE suite.

• video
Introduction to Differential Equations and the MATLAB® ODE Suite

## Introduction to Differential Equations and the MATLAB® ODE Suite

Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB® ODE suite.

• 2 min
• video
Overview of Differential Equations

## Overview of Differential Equations

Differential equations connect the slope of a graph to its height. Slope = height, slope = -height, slope = 2t times height: all linear. Slope = (height)^2 is nonlinear.

• 14 min
• video
The Calculus You Need

## The Calculus You Need

The sum rule, product rule, and chain rule produce new derivatives from known derivatives. The Fundamental Theorem of Calculus says that the integral inverts the derivative.

• 14 min
• video
Response to Exponential Input

## Response to Exponential Input

For a linear equation with exponential input from outside and exponential growth from inside, the solution is a combination of two exponentials.

• 13 min
• video
Response to Oscillating Input

## Response to Oscillating Input

A linear equation with oscillating input has an oscillating output with the same frequency (and a phase shift).

• 15 min
• video
Solution for Any Input

## Solution for Any Input

To solve a linear first order equation, multiply each input by its growth factor and integrate those outputs.

• 13 min