Second-Order Ordinary Differential Equations: Solving the Harmonic Oscillator Four Ways Published 2022-10-05 Download video MP4 360p Download video MP4 720p Recommendations 33:00 Example Second-Order ODE: Spring-Mass-Damper 16:42 Harmonic oscillator: Differential equation 39:17 The Simplest Ordinary Differential Equation (ODE) and Its Exponential Solution 20:23 High-Order Ordinary Differential Equations with More Derivatives (from Physics) 06:46 Introduction to Simple Harmonic Motion (SHM) | General Equation and Derivation 27:16 Differential equations, a tourist's guide | DE1 12:56 To Master Physics, First Master the Harmonic Oscillator 57:08 1. Periodic Oscillations, Harmonic Oscillators 18:36 This is why you're learning differential equations 09:21 What are Differential Equations and how do they work? 30:36 Physics Students Need to Know These 5 Methods for Differential Equations 08:10 Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion 24:56 Solving General High-Order, Linear Ordinary Differential Equations (ODEs) 31:31 More Examples of Second Order Differential Equations 23:58 Motivating Eigenvalues and Eigenvectors with Differential Equations 47:38 Differential Equations. All Basics for Physicists. Similar videos 16:04 Harmonic Oscillator Second Order Ordinary Differential Equation, Exponential Ansatz 30:58 Three Solutions for a Simple Harmonic Oscillator (with initial conditions) 11:18 Simple Harmonic Motion (Differential Equations) 07:08 Differential Equation - 2nd Order Linear (9 of 17) Homogeneous with Constant Coeff: Free Oscillator 13:20 Damped harmonic oscillator, second order differential equations 1:19:11 4. Second-Order Equations 12:54 Simple Harmonic Motion (SHM) Proof From the Differential Equation 11:54 How to Solve Linear 2nd Order ODE? 51:38 ME564 Lecture 4: Second order harmonic oscillator, characteristic equation, ode45 in Matlab 16:13 Free Oscillation | Application of Second Order Differential Equation (Spring-Mass System) 23:59 The Quantum Harmonic Oscillator Part 2: Solving the Schrödinger Equation 09:43 Coupled oscillators | Lecture 46 | Differential Equations for Engineers 09:24 Oscillation 2 | Solving the Linear Differential Equation via Direct Integration 25:37 simple harmonic motion: solving the simple harmonic oscillator differential equation More results