Differential Equation - Introduction (2 of 16) Real Situations Represented in Differential Equations

In this video I will give real life examples of uses of differential equations of circuits, and blocks and springs.

Next video in the Introduction series can be seen at:

[ocellogiuseppe]

Hi Mr. Van Biezen, thank you for your great videos.
I really love this topic in math because is a tool that helps us create mathematical models that describe the world around us and I see the excitement in your face too while explaining its purpose.
Unfortunately is a concept/procedure that I keep forgetting, I did it in Analysis and Thermodynamics in my first university, than again Analysis in my 2nd university and recently had to do it again to model Transient response in RCL circuit in Electrical Engineering part of my Robotic Engineering Major which is exactly what you describe on the board.

I really wish to grasp the understanding to model anythinging ruther than learning how to apply it to a specific topic.

Thanks again

[MrTriforcers]

Can you start a start a series about Partial Differential Equations?

[tetlleyplus]

Great video! Michel Van Biezen, you're the best! Just a question, can you explain what the LC circuit represent in real life, I understand that the capacitor represents some energy storing element, but the circuit is a very simplified representation of real life stuff, but can you give us an example of what it could be the circuit, please? Many thanks for your great channel!

[joeyborja]

Haha I like that line at 4:07, that is the reason why it is taking me too long to advance from your calculus videos and learn DE making sure I am not leaving any stones unturned (in fact I still have to go back and forth from here to refresh). There's just too many things to learn with so little time. :)

[BE]

I like how you put both of these systems of equations next to one another.

[bilalabo-taleb]

sir
do you have a real life example of the Centenary equation using differential equation?!###
i will be grateful
thanks!

[MasayoMusic]

I've gone through all of your calc videos, but I don't know anything about electrical circuits. Is it recommended I go through some videos on electrical circuits before diving into this course? Thanks.

[juusokorhonen]

How do you come up with this Omega all of a sudden? Is there something I should know before hand? And what does that omega equals something mean?

[ajj]

i no di = dq/dt but why negative, i understand that the current is flowing opposite the voltage therefore i = minus not dq, please correct me if i am wrong
Thank you very much i am very thankful for your playlist.

[amitmodak]

small mistake at 0:20. isn't that coil a resistor?

[wilius]

Kirchoff's law second law does not apply here because integral of E over dl does not equal 0 one should use Faraday's law here, you get the same result, but you don't misuse Kirchoff's law because it's just a special case of Faraday's law. Nonetheless this is great video.

[ianloveservice]

professor, i don't understand the system of solving differential equations. Any advice please, where would i start to study in order to understand dif. equation.

[storaman]

circuit is wrong; where is the battery?