First order, Ordinary Differential Equations.
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- Опубликовано: 17 фев 2019
- Contact info: MathbyLeo@gmail.com First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
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Thank you
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
Is there any free pdf book. If you have please send me. thanks, dear. please link
@@English4_Everybody Do you speak Polish or Russian
I can find free e-books in these languages
@@holyshit922 I am sri lanka. sinhala and english
Please Name of the book and author
@@English4_Everybody finding free e-book in english is quite difficult
You are saving an engineer's GPA with this video 🥺🥺🙏
Thank you very much
Cool.
you just taught me 3 weeks worth of lectures in under an hour. thank you so much for this
Happy to help.
This is great. Clear and so easy to follow step-by-step. Excellent overall teaching methods 👍🏼
Fantastic video! Spend days on this and now got it within less than an hour. Thank you!
This is one of the best and complete videos explaining the methods on how to solve ODEs in RUclips. KUDOS to you LEO!!!
Dig this channel because it’s like Viktor from Arcane teaching me calculus. Great content.
This video is ELITE! coming in clutch during finals my friend. Thank you!
Big thanks teacher LEO!!! Your lesson was adorable and thank you for great 48 minutes.
Awesome, Sanzhar. This message is priceless to me. Glad it helped joyfully.
Great and crystal clear explanation,,,,, looking forward to watching your tutorials on more calculus problems.
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!!!
I appreciate your comment Sophia, Same good feelings to you and good luck at your math journey.
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.
Thank you.
I'm happy to be the part of your contribution to humanity.
Thank you Sir. Wonderful.
Your voice was gentle and smooth; no tension, no rush.
Thank you Sir Leo. You've made it easier for some of us to understand this topic
I learnt more from you than my classroom and personal tutor combined ,thank you !
That's what am saying 🤧
I have my final in 2 days and you prepared me in just 1 hour. Thank you.
Outstanding performance sir...MashAlah
THANK YOU for this video! This was incredibly helpful, I feel so much more confident!
excellent! Hope you have prosperous growth in your endeavors. You helped me learn during the pandemic.
Thanks Shanice
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)
This was a great explanation! Learned a lot! Thank you!
Much thanks! My professor didn't explain it as clear as you did!
awesome video very thorough and straight forward. this will save me from failing my summer semester thank you brother
Thanks. Oh no, never give up. practice more problems and you are good. Differential Equations is easy and fun. Good luck.
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
Good luck, Wright.
thanks, Fantastic video! Spend days on this and now got it within less than an hour
My 2ND Year MATH exam is next week, this has helped me a lot!!! THANKS.
You're literally a beast at explaining Maths....your mind map for #4 is epic.
:)
Thanks man. You have break it down easier for me.
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.
Thank you, I appreciate your response, it means a lot to me.
EXACTLY my syllabus THANK YOU
what an incredible elaboration!clearely understood ,thank you!
No. Incredible feedback :)
Very glad to reach this lesson. Truly appreciated. Hope you good time.
Çok teşekkür ederim.
Simply...BEST OF THE BEST! AWESOME!
You've saved my mids. Thanks alot
As a visual learner the flow chart is very helpful
100% video, nothing left out
You are one of the best I hv come across
Thanks for the good work done, we appreciate 🙏🙏🙏.
Wooow thank you ,everything was just clear and easy to understand
Amazing video brother, it helps a lot ❤Thank you
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.
Thank you
you're amazing, i have a test tmrw and you explained 4 lessons in 48 min. thank you so much!
Good luck at test.
@@mathbyleo is integrating factor like exact differential equation lesson?
@@miraalotaibi1415 yes it is one of the techniques to find DE.
@@mathbyleo okay thank youu. Is there more examples you solved ?
@@miraalotaibi1415 please check out all the DE related videos. There should be some.
awesome how easy and very explaining way of your teaching glad i found out this video really nice keep it up
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
superb sir! I finally understood the lesson thanks to you sir🙏🙏
A very good lecture. Thanks.
I LOVE UR VIDS!!! i have a 92 in my class now keep up the great work!!!
Thanks Zoe.
there are also DDE , difficult differential equations...................hahahahahahahha
the best one as the building block for ode. highly recommend
Best 48 minutes I have spent on RUclips!
I really appreciate
Very helpful explanation, thanks!
This is really helpful, thanks!!
Your video is so easy to understand. Thanks a lots LEO
Thank you Bach.
Thankyouuu sooo muchhh. Without you, I would've failed my exam. The video was very helpful. Thank you again
I’m very glad it was helpful Haya.
Thank you for making this video. It was very helpful 🙂♥️
Sir you saved me, best explanation yet!
Thanks.
Beautiful presentation
thank you for the great work, its been really helpful.
I’m very glad it is useful. Thanks Wanyama.
Thanks much 4 your lecture
Thank you for this light... clarity has been achieved.
Awesome. Good luck on math journey. Glad our paths crossed.
Great sir..... 😍👍
I will be having quize test and midterm exam soon on this topic you summarised everything clearly I appreciate
Thanks dear sir 🙏
Thanks. Good luck.
Awesome video! Thank you for this.
Thanks
Thank you so much, you really help me to understand my WHAT-IS-THAT 5-hour lecture.
Thank you:)
Great lecture, thank you
Wallah, it is slow but perfect..everything is clear...thanks a lot
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 :)
Very clear explanation, thank you very much! Just wanted to point out a mistake if it is.
At 7:12 when u multiply both sides by -2, shouldn't the -2 be multiplied also by the constant c? You can't apply it to the 1/2x^2 alone, sir.
Whenever you manipulate constant c either by multiplying/dividing or any operation eventually in the end you still replace it with constant c, so writing -2c doesn’t make sense since it will be replaced by big C that represents constant. However there are some situations that you are solving for constant in the integral. That’s totally another topic. So I recommend just leaving constant c in this case.
Beautiful presentation
Great work
Please can you do a video on fromation of differential equations
The best solution and explaining steps.
Thank you very much
Thank you very much Abdulhussein.
excellent teacher, thanks a lot.
Thank you so much, LEO. I've got a quiz tomorrow. I think I'm going to pass it!
Good luck Nahiyan. Thanks
Thank you, Sir !!
Thank you very much , this video was really a blessing and easy for me to understand LOL
❤ you're the boss sir, keep it up.
great video!!!! super helpful
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 🙂
Wow! I am watching today.
I had skipped this class. Leo's video now has me covered for my upcoming test.
Cool but still keep an eye on your teacher's class and examples. I appreciate:) good luck on math journey.
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
Wonderful, great
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
I'm super glad. Preparing more calc AP topics.
Thank you soo much leo
Great work thanks again for your help
Exactly what i wanted, dankooo👏
very well explained...
Thank you so much I understand because of this video. ❤️
Cool. I’m glad.
Tnxs , God bless you
Thank you so much Sri
Give this man a Medal!! Please!
:)
Your teaching is so clear! I hope there will be more videos from you regarding Engineering Mathematics.
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.
@@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.
this was very helpful ,thankyou
A good summary of First Order DE. May Allah guide you!
Thanks Muhammad
I love this video thanks ☺️
Just wonder if we can merge the constant c with minus x squared ( is there any rule which would allow that?). I would appreciate if you could clarify further on that and thank you!
Hi, could you indicate the minute and second please ? Thanks.
@@mathbyleo I guess he's talking about the basic log rules you mentioned at 8:17. I too need a clarity on that! Thanks!
Logarithmically there is no restriction with pulling -x^2*ce however we would like to see e with exponent form. -x^2 is a variable and x variable be on e is the form we want. If it was a constant value then yes that would be better to pull out.
Thank you so much!
very useful. thank you
Thank you sooooooo very much sir
God bless you abundantly
really very helpful to me.thank you so much for your method of lecture.
Thank you Vithu
Thank you sir...it was one of the best video I have ever seen on this topic..can you please take a video on differential equation of 1 order and n degree
Do you have any specific sample problem? Please send to MathByLeo@gmail.com I can put it in order.
Thank you very much for the video. Please, can I know the name of this app or shortwave you are using to do the video teaching. Thanks in anticipation for your reply. My Best Regards.
Hi David. I use Wacom tablet and pen writing on paint software in windows. Nothing special. Just as if I am writing on a piece of paper, i do write on paint page. And do screen recording. It is pretty simple and easy. You might need a microphone if your computer's external mic is not good or available. So put together three things
1- Wacom tablet. Mine is the cheapest ($50 on bestbuy or Amazon)
2- paint program free on windows or paintbrush on Mac free
3- mic if needed.
4- any free screen recording program. QuickTime on Mac or many others on windows. Check free screen recording programs for Windows or Mac. Pick up whichever you like.
@@mathbyleo Thank you so much, I am very grateful.
Thank you sooo much Sir.
nice work