Drawing Differential Equations as a Block Diagram (Example Problem)

In this video, I show an example of drawing a block diagram for a Single-Input-Single-Output (SISO) linear system described by differential equations. Timestamps: 00:00 - Introduction 00:30 - Block Diagram Components 03:22 - Overview of steps to solve 03:56 - Example problem description 04:25 - Solving for the highest derivative (step 1) 05:08 - Drawing integrations (step 2) 06:15 - Combining signals and closing loop (step 3) 08:30 - Checking the system equation 10:20 - Combining signals for output (step 4) 11:41 - Checking the output equation 12:09 - Final answer and conclusion If you want to see me make a video about any topic, please leave a comment below! Errata: • At 03:33 I say “differential equation” instead of “system equation”. While it is true that for this problem the system equation is a differential equation, The first step should be specified to be about the system equation and not the output equation. I make a note of this mistake on screen. • I forgot to draw the input arrow for the gain block containing 6 drawn at 08:16. It should be easy to determine the direction of this signal, but the arrow should be drawn nonetheless. I make a note of this mistake on screen.