How Differential Equations Solve RLC Circuits (RC, RL, and More!)

Struggling to connect differential equations with real-world electrical circuits? In this video, we break down how to use differential equations to solve RC, RL, LC and RLC circuits—step by step. This video explores: How to set up circuit equations in standard form When to use methods like separation of variables, integrating factors, and auxiliary equations How undetermined coefficients and Laplace transforms help solve complex inputs What the homogeneous and particular solutions really mean—and how superposition brings them together We also use graphs to visualize each case, making the math easier to understand and more intuitive. Whether you're a student, hobbyist, or engineer brushing up, this is the deep dive you’ve been looking for!