Differential Equations Application Example: RL-Series Circuit скачать в хорошем качестве

Differential Equations Application Example: RL-Series Circuit

In this example problem video, we model an RL-series circuit using differential equations. We set up a first-order linear differential equation for the current in the circuit using Kirchhoff’s voltage law. After solving the equation, we determine both the current as a function of time and the steady-state current. In this video, you’ll see examples involving: • Setting up a differential equation for an RL circuit • Solving a linear first-order differential equation • Applying an initial condition • Finding the steady-state current • Interpreting the physical meaning of the solution These worked examples show how differential equations are used to model electrical circuits. This video is part of my Differential Equations application examples series. Differential Equations playlists:    / @understandthemath   Guided notes and additional resources: https://www.understandthemath.com ODE Videos    • Ordinary Differential Equations Free Cours...      • Classification of Differential Equations |...      • Slope Fields for First-Order Differential ...      • Autonomous Differential Equations | Critic...      • Separable Differential Equations | Definit...      • Linear Differential Equations | Integratin...      • Exact Differential Equations | Definition,...      • Homogeneous Differential Equations | Defin...      • Bernoulli Differential Equations | Method,...      • Applications of First-Order Linear Differe...      • Euler’s Method | Numerical Approximation f...      • Differential Equations Midterm Exam Review...   Connect & Support TikTok:   / understandthemath   Instagram:   / understandthemath   Facebook: https://www.facebook.com/profile.php?... Support: https://buymeacoffee.com/understandth... More About Understand The Math Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples. Each video includes free guided notes, linked in the description. These notes help students follow along, highlight key concepts, and practice problems, making review easier and more effective. #DifferentialEquations #RLCircuit #ElectricalEngineering #ApplicationsOfDifferentialEquations #ODEs #EngineeringMath #AppliedMath #CollegeMath #UnderstandTheMath