Solving this problem using Block Diagram Reduction:
https://youtu.be/dXUAJtWNuCU
Deriving Block Diagram Reduction Rules:
https://youtu.be/74ky47hKGoM
I don't see this method for finding the transfer function of block diagrams as often as I see block diagram reduction rules used, but I like it because you avoid having to draw out the the block diagram at every step.
Timestamps:
00:00 - Introduction
00:40 - Labeling the signals
01:18 - Finding equations for each signal
04:38 - Combining equations and algebra
09:05 - Writing the transfer function
10:10 - Answer
If you have any questions or want to see me make a video about something, please leave a comment below!
Errata:
At
03:26 I said "coming from the left" instead of "going to the left". This is corrected with text over video.