Differential Equations with Velocity and Acceleration (Differential Equations 7)

How Differential Equations can be applied to Velocity and Acceleration problems.

[m.abdullah.y]

I got 26/50 marks in our sessional 1 in my university. Then i saw you and i fell in love with you :). You are great. I finally got 83/90 marks in our final exam of calculus.

[thembalethumbopheni]

Hi Professor Leonard, Im an applied Mathematics and computer science student all the way from South Africa. i dont know how this will come out on you, but from me its acknowledgement, your tutorials have really helped me a lot more especially in Calculus did all three classes and have managed to get myself distinctions, all thanks to you Prof, this semester im doing discrete maths and differential equations. im excited and glad to see that you still by my side i feel lucky, and God Bless you.

[johnezekieltandog]

"I'm me, so I'm gonna show you both ways..."
you really are awesome sir

[JenniferMobley]

I love the way he explains thing and then relates it back to previous classes. He shows how everything ties together and I really appreciate it.

[mmdarwani]

Finally, I know how they created these Equations of Motion in Phy1. You feel extremely happy when you get the big picture. I really appreciate it. Thanks a bunch.

[roumanialabd]

You are doing a great job. I have been following your for 5 years right now. I was looking forward to seeing the differential equations videos. A big thank you for that.
I am also wondering if you're going to do any linear algebra course any time soon.

[medhatithidas]

it's amazing to really see how physics and maths are so interconnected to each other. the equations of motions that we have learnt throughout our whole life were nothing but solutions to these diff. equations.

[leol]

I have nothing but love for you. Thank you very much for your help as I am self-studying for differentials next semester. Your hard work is appreciated and is very admirable. I hope you and your family are doing well during this break from YouTube. Whether you are coming back or not your impact will live on. 💗

[aubreeswart]

I’m just doing this for fun, and I love it so much! Thank you Prof!!!

[johnholme]

He gives you a good intuitive grasp of mathematics! It’s just what you need if you’re studying physics at degree level. Thank you!

[Timos]

This is quite interesting, back in high school i always learnt these "physics' formulas" by heart and now they all make sense, thanks for making these videos they are very educational even for people not taking a Dif Eq classl! :)

[ozzyfromspace]

Thank you for this elementary explanation. I’ve spent like the last two days trying to understand the relationship between boundary conditions and initial conditions. I’ve learned that when you solve a differential equation, you get natural initial conditions (like the x0 and v0 in the video) and they tell you the future state of the function. Thus, you can use said initial conditions to predict the boundary conditions, which for me is a better way to think about where boundary conditions come from. It also helps me understand why boundary conditions sometimes fail while initial conditions do not. It’s because sometimes certain curves are impossible for your differential equation, regardless of the initial conditions, so the boundary conditions make the equation inconsistent. Something like that. This video helped me gather my thoughts. Thanks again, Professor Leonard! 🙌🏽😁🎊

[stevec]

Hi Professor Leonard,
I just wanted to say thank you for taking the time to prepare these lessons, and also teach them with the prose and clarity in which you do. I watched a handful of your calculus three lectures, mainly toward the end of your course on the three big theorems -- green's, stoke's, and divergence -- and you helped clarify them exponentially for me. My professor at a Big 10 Uni. taught them in a slightly different ordering than yourself, but your method of teaching the final chapter of calc 3 seemed to flow much more nicely.
Thanks again professor, and I hope you have a happy and safe new year

[marcusworrell]

Please do Linear Algebra! You are an amazing instructor!

[coleabrahams]

Wow, these are awesome. Deriving Newton's laws of motion using differential equations. Hi from South Africa.

[mumin]

Best timing in the world with world's biggest biceps prof just threw these at me THANKS PROFESSOR LION

[Brunoillaabtibol]

Defining gravity in Feet/s kills me in the inside

[faruksoso]

you are good, he breaks it down better than a lot of professors.

[joshuabrandt]

This man is king. What an incredibly thoughtful dude.

[nunyabeezwaxx]

I would be lost without these videos.. thank you Professor Leonard!