First order, Ordinary Differential Equations.

[@holyshit922]

There are three main types of first order ode
1. Separable ODE
2. Linear ODE
3. Exact ODE
Other types of first order odes which can be found in textbooks
can be reduced to this three types
There are three ways of reducing equation to another type
1) substitution
2) integrating factor
3) introducing a parameter

[@English4_Everybody]

Is there any free pdf book. If you have please send me. thanks, dear. please link

[@holyshit922]

@@English4_Everybody Do you speak Polish or Russian
I can find free e-books in these languages

[@English4_Everybody]

@@holyshit922 I am sri lanka. sinhala and english

[@English4_Everybody]

Please Name of the book and author

[@holyshit922]

@@English4_Everybody finding free e-book in english is quite difficult

[@unknown-fu1vw]

you just taught me 3 weeks worth of lectures in under an hour. thank you so much for this

[@mathbyleo]

Happy to help.

[@moyopocyrille9946]

You are saving an engineer's GPA with this video 🥺🥺🙏
Thank you very much

[@mathbyleo]

Cool.

[@OsazuwaEro]

Bro you can say that again..

[@jeccastardo8640]

It's April 2024 and next week will be our 2nd exam for DE. Thanks for this. I'm hoping to get a high score. I'll be back and edit this comment once I have my score 😅 wish me luck🤞🏻
UPDATE: It's been 3 weeks now since I commented this, so my apology, but I just received my score for our 2nd exam in DE. And, I got a perfect score 😭 50/50.
It's all because of the way you simplify these complex topics that I was to able to ace the exam. I couldn't thank you enough. You are such an INCREDIBLE TEACHER! Thank you so much 🙌🏻🥺

[@gameseeker6307]

💀

[@gameseeker6307]

Finals now?

[@jeccastardo8640]

​@@gameseeker6307 Haha apology for the very late update. My teacher kept on postponing our 2nd exam.

[@whitwat]

Ahhhh congrats!!!

[@shadrackokello8228]

Just amazing. The fact that you managed to crop all the methods of solving differential Equations while exactly showing the nature of such DE with ease and simplicity while cracking down complex to simple and comprehensive responses warms my heart.
I managed to spent time putting down in details every word you said in every step, while drawing examples and solutions to each example given in each Method in my book.
I'm in awe 📍📍📍🙌
Thank you Leo.

[@mathbyleo]

Thank you.

[@mathbyleo]

I'm happy to be the part of your contribution to humanity.

[@billywhimwa1281]

This is great. Clear and so easy to follow step-by-step. Excellent overall teaching methods 👍🏼

[@sanzharbekbolat3335]

Big thanks teacher LEO!!! Your lesson was adorable and thank you for great 48 minutes.

[@mathbyleo]

Awesome, Sanzhar. This message is priceless to me. Glad it helped joyfully.

[@KhatumuDorcas]

Thank you Sir. Wonderful.
Your voice was gentle and smooth; no tension, no rush.

[@georgesadler7830]

Professor Leo thank you for solving First Order Differential Equations by using Separable, Linear, Homogeneous and Exact Methods. All these important methods can only help current and future students in Differential Equations.

[@mathbyleo]

Thank you, I appreciate your response, it means a lot to me.

[@arhambinimtiaz]

I have my final in 2 days and you prepared me in just 1 hour. Thank you.

[@qtrnndya]

Thank you Sir Leo. You've made it easier for some of us to understand this topic

[@Sophia-mp3yw]

THANK YOU SO MUCH. YOU SAVED ME BIG TIME!!! I have a quiz tomorrow and I didn't understand how my teacher explained it. I'm so blessed that I found your video. You also gave a lot of bonus which I really appreciate. God Bless You!!!

[@mathbyleo]

I appreciate your comment Sophia, Same good feelings to you and good luck at your math journey.

[@sungwalawisemanbrian7794]

Great and crystal clear explanation,,,,, looking forward to watching your tutorials on more calculus problems.

[@SyedSamarAbbas93]

Best 48 minutes I have spent on RUclips!

[@mathbyleo]

I really appreciate

[@sparkleleonie9142]

Fantastic video! Spend days on this and now got it within less than an hour. Thank you!

[@luisramos3427]

This is one of the best and complete videos explaining the methods on how to solve ODEs in RUclips. KUDOS to you LEO!!!

[@miraalotaibi1415]

you're amazing, i have a test tmrw and you explained 4 lessons in 48 min. thank you so much!

[@mathbyleo]

Good luck at test.

[@miraalotaibi1415]

@@mathbyleo is integrating factor like exact differential equation lesson?

[@mathbyleo]

@@miraalotaibi1415 yes it is one of the techniques to find DE.

[@miraalotaibi1415]

@@mathbyleo okay thank youu. Is there more examples you solved ?

[@mathbyleo]

@@miraalotaibi1415 please check out all the DE related videos. There should be some.

[@DMGInfinityWarrior]

awesome video very thorough and straight forward. this will save me from failing my summer semester thank you brother

[@mathbyleo]

Thanks. Oh no, never give up. practice more problems and you are good. Differential Equations is easy and fun. Good luck.

[@incognito_tab43]

Thank you so much for this sir, words really cannot explain how thankful I am😭😭

[@daniAfrazeh]

tnx man this is fantastic

[@weezlelay]

As a visual learner the flow chart is very helpful

[@diyanair158]

I learnt more from you than my classroom and personal tutor combined ,thank you !

[@yameroo3116]

That's what am saying 🤧

[@jadepinto4321]

EXACTLY my syllabus THANK YOU

[@wrightkuku8811]

Out of words...you are just so amazing and helpful...I have a CAT today and am confident. Thank you once again.God Bless you

[@mathbyleo]

Good luck, Wright.

[@mohsinraza4156]

Outstanding performance sir...MashAlah

[@adhoccerswings]

I'm not a math student, tricks like raising both sides to the power of e were awesome :D I don't recall that from anywhere. Useful stuff! I never had differential equation handling in school or in university (never ran into them much)

[@nicholasc9187]

Much thanks! My professor didn't explain it as clear as you did!

[@etiennefrancoeur35]

You're literally a beast at explaining Maths....your mind map for #4 is epic.

[@mathbyleo]

:)

[@lyricalg3nius]

My 2ND Year MATH exam is next week, this has helped me a lot!!! THANKS.

[@ntandodladla1685]

100% video, nothing left out

[@kosco9658]

This video is ELITE! coming in clutch during finals my friend. Thank you!

[@shaniceshipp9016]

excellent! Hope you have prosperous growth in your endeavors. You helped me learn during the pandemic.

[@mathbyleo]

Thanks Shanice

[@Nisaa0o0]

Thank u, i really apreciate your kindness to make this video for us🙏

[@michaellat.albano8804]

Dig this channel because it’s like Viktor from Arcane teaching me calculus. Great content.

[@Tunggaey]

thanks, Fantastic video! Spend days on this and now got it within less than an hour

[@azkakhan6893]

Hey that really worked wow i wonder for what purpose we are giving fees to our universities thanks sir 👍
I wish my teacher would also see this 🙂

[@theaimwinsbr9874]

Wow! I am watching today.

[@isaimathias]

I had skipped this class. Leo's video now has me covered for my upcoming test.

[@mathbyleo]

Cool but still keep an eye on your teacher's class and examples. I appreciate:) good luck on math journey.

[@unlowyer]

at the end of the lesson you showed how to remember sin and cos derivative and integral with a cirle. Thats the best way I have ever seen. Thanks a lot.

[@mathbyleo]

Thank you

[@frencissaliru9733]

there are also DDE , difficult differential equations...................hahahahahahahha

[@guliyevshahriyar]

Very glad to reach this lesson. Truly appreciated. Hope you good time.

[@mathbyleo]

Çok teşekkür ederim.

[@minecraft_royal]

Thanks man. You have break it down easier for me.

[@974_muskanpritam3]

the best one as the building block for ode. highly recommend

[@bachnguyen1240]

Your video is so easy to understand. Thanks a lots LEO

[@mathbyleo]

Thank you Bach.

[@Itschxrryyy]

Thanks alot for this lecture.. u made it very easy to understand the concepts in very little time 💗

[@carl3565]

thankyou LEO, you saved my life, there is a CalC BC test coming up soon, I was thinking how to not fail the second test in my high school senior year

[@mathbyleo]

I'm super glad. Preparing more calc AP topics.

[@arisalehpour8199]

This was a great explanation! Learned a lot! Thank you!

[@sonawanesamruddha1]

Give this man a Medal!! Please!

[@mathbyleo]

:)

[@hayaalthawadi7773]

Thankyouuu sooo muchhh. Without you, I would've failed my exam. The video was very helpful. Thank you again

[@mathbyleo]

I’m very glad it was helpful Haya.

[@specialone6482]

I will be having quize test and midterm exam soon on this topic you summarised everything clearly I appreciate
Thanks dear sir 🙏

[@mathbyleo]

Thanks. Good luck.

[@tahaqasim-s9w]

You've saved my mids. Thanks alot

[@ndelo4947]

Thank you for this light... clarity has been achieved.

[@mathbyleo]

Awesome. Good luck on math journey. Glad our paths crossed.

[@paulah0819]

THANK YOU for this video! This was incredibly helpful, I feel so much more confident!

[@reptilewithsadhumaneyes]

For the exact equations, you should call the little functions just M and N. My and Nx are the partial derivatives of M and N

[@stephenplobowmanii6909]

You are one of the best I hv come across

[@abdulhusseinalsultani9222]

The best solution and explaining steps.
Thank you very much

[@mathbyleo]

Thank you very much Abdulhussein.

[@emmanueleria1439]

what an incredible elaboration!clearely understood ,thank you!

[@mathbyleo]

No. Incredible feedback :)

[@muhammadibnwahid6405]

A good summary of First Order DE. May Allah guide you!

[@mathbyleo]

Thanks Muhammad

[@esthereuticterra2314]

Thank you so much, you really help me to understand my WHAT-IS-THAT 5-hour lecture.

[@mathbyleo]

Thank you:)

[@mainzasamuel9314]

Thanks for the good work done, we appreciate 🙏🙏🙏.

[@sseukaitorelsedoyoungwilll6548]

Sir you saved me, best explanation yet!

[@mathbyleo]

Thanks.

[@a.s.h.i.e.04]

Wooow thank you ,everything was just clear and easy to understand

[@WestonAvelange]

You’re too good sir thanks 🙏🏽

[@chandan5908]

Beautiful presentation

[@k.alphtv7157]

Thank you sooooooo very much sir
God bless you abundantly

[@thechannel7072]

awesome how easy and very explaining way of your teaching glad i found out this video really nice keep it up

[@sadatlucas4045]

Wallah, it is slow but perfect..everything is clear...thanks a lot

[@mathbyleo]

Thanks Sadat. I will prepare fast advanced versions in the future as an option for now I wanted to cover who really would like to start from the scratch. Thanks and good luck at your studies. I can prioritize this specific video for fast renewed version and put on top of the list :)

[@quartey340]

Beautiful presentation
Great work
Please can you do a video on fromation of differential equations

[@TaruO-o]

superb sir! I finally understood the lesson thanks to you sir🙏🙏

[@07tarakorn92]

Thx very much ur vids are very easy to understand.

[@mullaghori5048]

Amazing video brother, it helps a lot ❤Thank you

[@dioutoroo]

Thank you, Sir !!

[@nahiyanibnershad9076]

Thank you so much, LEO. I've got a quiz tomorrow. I think I'm going to pass it!

[@mathbyleo]

Good luck Nahiyan. Thanks

[@successfulvictorypublisher6090]

Simply...BEST OF THE BEST! AWESOME!

[@user-iv2yc9yt7j]

Very good explanation. Small correction (as I think): at about 09:45, on the top right of the screen, the constant k is missing on the right side of the equation.
Thank you

[@stephaniecriollo]

I LOVE UR VIDS!!! i have a 92 in my class now keep up the great work!!!

[@mathbyleo]

Thanks Zoe.

[@wanyamabirungi7558]

thank you for the great work, its been really helpful.

[@mathbyleo]

I’m very glad it is useful. Thanks Wanyama.

[@the_math_tutor]

I love this video thanks ☺️

[@NM-zw2pk]

❤ you're the boss sir, keep it up.

[@infamousfamous6990]

Thank you so much I understand because of this video. ❤️

[@mathbyleo]

Cool. I’m glad.

[@franktronix]

Thank you very much , this video was really a blessing and easy for me to understand LOL

[@md.iliasmahmud438]

A very good lecture. Thanks.

[@calebagyei2690]

11:19 how did you factorize k² out of (kxky) please? A bit confused

[@AwaisAslam-v2h]

Thanks sir most amazing

[@vithushan8529]

really very helpful to me.thank you so much for your method of lecture.

[@mathbyleo]

Thank you Vithu

[@ursboesiger4960]

Thanks!

[@mathbyleo]

Thank you so much

[@AlbertPetro-b4b]

Thanks much 4 your lecture

[@dorisdejusto5485]

Thank you

[@kekelichen-kwawu7284]

Very helpful explanation, thanks!

[@efraimsnow1629]

thanks leo

[@ppppaaaa942]

Your teaching is so clear! I hope there will be more videos from you regarding Engineering Mathematics.

[@mathbyleo]

Pppp Aaaa Thank you very much. I will definitely consider making more video on that field. You can list some of the topics that you would like to see I can line up and work on it.

[@ppppaaaa942]

@@mathbyleo Videos like Taylor series expansion for multivariable(second and third order), Euler and Runge-Kutta Numerical Techniques for Solving Differential Equations, and a lot more, hahaha.

[@mtopangaprimo2556]

Thank you

[@dondoorise]

Great work thanks again for your help

[@henokbezabih8648]

Thank you so much Sri

[@xaoqi1157]

This is really helpful, thanks!!

[@linahwanjiku8226]

In the homogenous style u have cancel v squar with v

[@mohammedsamir5142]

7:55 Here we should take the absolute value into consideration. You took one of the 2 possible solutions.

[@MrRjizz]

absolute value doesn't matter in that example as absolute value is just +- if u multiply by -+ on both side u end up with -+c times the expression as c is any constant both plus or minus u can cancel the -+

[@hudaalobaydi6938]

Thank you so much

[@raysumthing3908]

Thank you for making this video. It was very helpful 🙂♥️

[@Esclave_d_Allah]

Wonderful, great

[@somtoochukwuvivian6251]

Thank you so much Sir.

[@bridgettondo3098]

Thank u so much

[@amanuelabbittee4511]

Tnxs , God bless you