Exponential Decay

"Exponential decay occurs throughout physics and engineering ..." Well, I wouldn't call our situation all that bad. At least we have your videos 😊

It will take considerable time to wrap my head around this, this is invaluable sence all we have is time.

Every video you make is a gem. Thank you!

Such an elegant Mathematical analysis of Zenos paradox! A gem!

I am always happy when I see Eugene has released a new video :)

Love it. This was the equation (or at least a form of it) we used in school for capacitor/inductor charge when predicting pulse wave forms.

My mentor! This is the best ever intuitive video about exponential decay that I have even seen... I loved the way you brilliantly made the use of cokors in your equations of black and red curve.. This is the thing which you and only you made me memorize in 12 mins which I couldn't even memorise in 45min if I were using a book.. Thanks to your smart work. I also find a lot of difficulty in making the differential equations that describe the behavior of physical systems.. I am good at solving differential equations but I am really bad at making differential equations... Will you please make a video on the easiest way to make a differential equation for any system.. I would be very thankful to you and my happiness will know no bounds if you make this in future.. 🌹🌹🌹💐💐

A good follow up to this would be expanding on underdamped, critically damped, and overdamped responses in physical systems, which are the real tools used across many disciplines to explain just about everything.

I have learned a lot with each of your videos, thank you :)

Thank you, I have learned a lot from these videos!

Your videos are making me understand the topics exponentially. You are the best.

thanks!Best knowledge and good music...it is wonderful

Love the car number plate! But seriously, great video and great explanation! Plus love the worldly advice too LOL, so true!

Your videos literally make me happy and whenever I see your new videos, I just dive in right away ❤!

2:40 you just called out the entire business sector right there

p.s. the exponential isn’t coming from nowhere. It often comes from simple ODEs

Exponential Decay seems to correspond well for us software developers.. Super to see a new video here.

I am happy like a child's curiosity is satisfied while watching your videos. You add perspective on the universe and its foundations. I understand mathematical expressions better by turning them into images in my mind. All I need to learn is an explanation from someone like you.

Greetings from Paraguay. I follow your work since 2014. Great content, it is unvaluable.

2:41 was brutal yet honest, that is pretty much what happens with so many bussineses