How to Solve Differential Equations | Foundational Mathematics for Science and Engineering | Ep.10

Описание: In this video, This lecture introduces differential equations, the mathematical language used to describe change in physical systems. We cover ordinary and partial differential equations, solution methods, and the special functions that appear in physics.

In this video, you'll learn:
Ordinary vs. partial differential equations
Linear and nonlinear ODEs
Homogeneous and inhomogeneous equations
Harmonic oscillator and physical examples
Power-series solutions and special functions
Wave and heat equations
Boundary conditions and Green’s functions

Here is the notes for this chapter
https://drive.google.com/file/d/13On1...

Here are the Timestamps
0:00 Table of Contents
1:46 Introduction
9:02 Ordinary Differential Equation with Constant Coefficients
34:48 First Order Ordinary Differential Equation with Variable Coefficients
42:21 Second Order Homogeneous Ordinary Differential Equation with Variable Coefficients
1:16:31 Partial Differential Equation
1:24:47 Green's Function Method

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