Differential Equations - Introduction - Part 2

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• [XII][Mathematics] Int...
Chapter Name: Differential Equations
Grade: XII
Author: AKHIL KUMAR
#akhilkumar, #centumacademy
__________________________
A STEP BY STEP GUIDE TO PREPARE FOR BOARDS & COMPETITIVE EXAMINATIONS This session can be useful to students of high school of CBSE, ICSE, IGCSE or State Boards, as well as those who are preparing for competitive exams like NTSE, IIT JEE, NEET, KVPY, CET, Olympiads, Bank PO, CLAT, SAT, CAT, GMAT, GRE, UPSC Civil Services Examination, NDA
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[@rajendramisir3530]

Amazing introduction Sir! An excellent review for me after 25 years. Indeed, you are a skilled problem solver. You demonstrate an in-depth and clear understanding of the concepts covered here. Well planned and organized video while under the pressure of time. Oh! Your conception of the definition of differential equations is novel. Thanks. Teaching is a noble profession.

[@christiannelson5493]

Thanks for this is very much important to me

[@microwaves2107]

Indians saving me again

[@CentumAcademy]

Hi Micro Waves. Thanks for watching our video. Let us know if you want assistance in any other topic and we will try to come up with a video on that topic.

[@microwaves2107]

@@CentumAcademy still studying the intro right now no problem OG teachers

[@mankienkueth205]

I always felt relieved when I watched this channel with full experts personnel who are well talented in Mathematical background and I want to be like them in God will and my little commitment. thanks sir.

[@ismailmahirsamajecel4957]

Your teaching skills and the manner you approach the problems is good.

[@CentumAcademy]

Thanks

[@juhisharma743]

Amezing your teaching sir , I am fan of your teaching.

[@OmarioKing_15]

Great videos. Very knowledgeable instructor

[@bsr8665]

I want more videoes from him

[@christabeljnrsekyere8277]

Mee toooo😩

[@mrben140]

The guy is good🤩

[@dogetarak2456]

Very nice video.. Gonna follow you soon after completing my present Topics..

[@ramans8856]

Very good teaching skill.
A strong resourceful person Good job

[@erikpoephoofd]

Thank you so much for this video!
You're a very talented teacher, and if I get my bachelors degree, it will be partly thanks to you!

[@shanmugapraveen6401]

Thank u sir!!!! It's easily understand through your teach!

[@whatsscam8593]

Wow sir you wiped all of my doubts...thanks

[@arafatbaunto4068]

Very helpful. Excellent approach

[@kentdelacruz9972]

Found your videos very helpful. Thank you Sir!

[@kenscapes]

Thankyou !. At ~ 15:20 or so, did you just subtract y from both sides to help eliminate the arbitrary a constant? Or is it replaced from original equation

[@pranaypal7829]

What if I multiply some independent variable or a dependent with the constant,(at 4:30) will that equation still valid for the same curve ?

[@georgesadler7830]

Professor Kumar , thank you for an impressive Introduction to Ordinary Differential Equations. The problems and examples are excellent for all students in Differential Equations.

[@nokutendadenga7617]

I love your videos, truly

[@reek1225]

Lots of love for you sir
This is amazing

[@fearlessmotivator5688]

Awesome, thank you very much sir

[@nazmussakib3126]

This is really appreciable sir and you are such a skilled person ! Great love from Bangladesh.

[@-_MostafijurRahman]

Wow..
Very fluent and easily can be understand the words, Sir....

[@ellyelle6491]

Thankyou so much. ❤️

[@Treatment-in-India-and-Turkey]

may God bless ya sir! your are awesome..

[@christopheramissah3126]

Thank you
Great work done

[@user-gp5xd9nv2l]

Exactly the video I'm was searching for 🎉

[@perinpanathanlajeeth5150]

sir thank you for u r support

[@educationmotivation4192]

Sir your representation is unique.

[@bryantbryan4197]

So smooth

[@secretlistener__5433]

Thank You Sir...!!

[@OADDANKILIKHITHA]

thanking you very much sir

[@user-hj6tx6uy4h]

Worthy watching 🎉

[@aftabjaved3726]

Salute to your skill sir . I am a lecturer myself although I play with maths daily while I take class but your lecture was spellbound for me that I couldn't lit my cigarette I remained so involved. Bravo keep it up and by the way I am from Pakistan.

[@CentumAcademy]

Good to know that our teachers are always in learning mode themselves..Great going Aftab... all the best to you...

[@gowriganesan7181]

Thanks for your vedios

[@kpmathsacademy]

outstanding sir

[@ningappad4614]

Amazing sir.. I will be fan of our teaching sir

[@JRGTutorialBlogEconomics]

Great teaching

[@toluwanidaniel7841]

Hello Sir.... How can you multiply C3 and C4 at 28:24 ? C4 is a power of e, so how can you just multiply a constant with the power of another value?

[@ashisswarn2781]

excellent explaination!!

[@rajaramkushwsha4335]

Greate job sir ...I am satisfied to your teaching... thanks..I am fan of you..

[@CentumAcademy]

Rajaram Kushwsha thanks for watching the video. Help us spread the word about Centum Academy in your circle.

[@rajanpon3529]

Thanks lot sir, u r respected one, fine explanation, thank u so much

[@CentumAcademy]

Thanks Rajan..👍

[@veerasuryanarasamamba4380]

I literally like ur teaching sir.... I have a clear vision about this chapter now sir... THANK U sir..

[@CentumAcademy]

Great that you liked it Veera Surya. Feel free to reach out to us for any queries and doubt clarifications.

[@analizamabini]

You're an excellent teacher. 💛 More power to you, Sir.

[@CentumAcademy]

Thank you! 😃 Analiza

[@journalistmayankverma6843]

Sir aap Hume notes ki link de do aapka aheshaan ho jayega hum jaise student ka

[@sheejap4340]

This vdeo was very helpful and ur accent is damn good

[@jerrychidi4003]

very interesting and understanding

[@entirelyeverything6811]

Thanks sir.

[@basantkumargupta9194]

Very nice sir

[@rafaeljohnb.pomida7881]

Awesome

[@sonlenchungtouthang9448]

One of the best lecture

[@CentumAcademy]

Thanks

[@herecomesejdss1371]

You got a sub man!

[@omar778]

Amazing

[@antonyraj9975]

Excellent lecture 👌

[@tegemeamwashitete2470]

thank you sir

[@yakubkadar1007]

Iwant more vidoe s with different type of ode##?

[@patrickalerta2623]

Amazing teaching Sir! Thank you!

[@CentumAcademy]

Glad it was helpful!

[@sebastianbalbo1906]

Bravissimo !

[@nishagupta5403]

YOUR TEACHING LIKE ME THANK SIR

[@kabandajamir9844]

So nice

[@atwellmoyo2519]

That was powerful n clear sir

[@CentumAcademy]

Thank you

[@TheNinjaDwarfBiker]

Excellent, how do you only have 2.4k subs lol

[@sazisomnyandu9546]

good explanation sir

[@shinchandoramon1900]

At 28:24, C4 is a power. So, how can we multiply it

[@kabali29kabali76]

Tq sir

[@musfiqarishol3516]

Amazing teaching sir 🤩🤩 htz of u sir

[@CentumAcademy]

Thanks Musfiqa...all the best

[@shahdilalam1844]

How to see arbitrary constant

[@hgflame]

Finally found a good explanation! Thank you!

[@shahdilalam1844]

I never confuse 😴
Find the arbitrary constant

[@gideon9822]

well done

[@krishnaraj3989]

beautifully explained!!!

[@CentumAcademy]

Thanks for watching Krishnaraj...best wishes

[@elmertatzkie7473]

Lol i kind of surrender in e^x+c4, then I continue and found that it is simple.😅

[@elamvaluthis7268]

Good.

[@iftikharullah3616]

good.job

[@informationlake279]

Thanks

[@CentumAcademy]

Welcome...

[@shreyarao7032]

In the first example, wouldn't the number of arbitrary constants be 3 (a, b and 4)? So wouldn't we need to differentiate it 3 times?

[@akhilkumar4346]

4 is not an arbitrary constant..arbitrary means random

[@user-oq1ho7yy4s]

Please I need reference to engineering mathematics PDF 5:33 5:37

[@johnniegilkerson4724]

@9:52 in video, why is the derivative of 4a(x+b), with respect to y, equal to 4a?

[@tiadoraedlainevera5512]

johnnie gilkerson prodcut rule, 4ax+4ab. 4[a(1)+1(0)] + 4[a(0)+b(0)] = 4a

[@MWaqar-yg1wt]

the derative is taken with respect to x not y..

[@omytexyn1899]

good...

[@CentumAcademy]

Thanks

[@talhaturkumozkurt8052]

In the previous examples we replaced the arbitrary constants in derivatives with their equals and eliminated them in each step. The last order with arbitrary constants eliminated was our answer. I didn't understand why we turned back to circles' original formula and replaced the arbitrary there. We didn't do this in the previous ones.

[@dariusg.wonyen6020]

Did you consider the negative when you transposed the X to the right of the equation?

[@dariusg.wonyen6020]

Thanks

[@tamukachikowore6543]

👏👏

[@umadevi-xj2iy]

Sir exalent your teaching very well so please send 1 semester 1 degree whole syllabus sir

[@CentumAcademy]

Thanks for watching ...we are working on your request...

[@bhagwanchitte1461]

👍👍👌

[@oghenemineoghorodi8051]

How did he differentiate 4a(x+b) that he got only 4a?

[@ryanduarte10]

4a is constant so it is 4a times the derivative of (x+b), which is 1. So 4a times 1 = 4a

[@johnniegilkerson4724]

@25:54 in video, what happened to the -2y^2?

[@joseorozcoiii9946]

He distributed the dy/dx to x^2 plus y^2 then combined the -2y^2 with y^2 that is why x^2+y^2 becomes x^2-y^2

[@johnniegilkerson4724]

@@joseorozcoiii9946 I see it now, thanks

[@madankrishnashrestha2474]

Dear sir, i think the spelling is arbitrary constant instead of arbitary constant.

[@CentumAcademy]

Thanks for pointing out Madan...we will take care

[@dikshitasingh4669]

any questions ask sir please

[@Puxladen]

genius

[@brightagyei9775]

I can’t see the final answer

[@KhushiKaushik-ib6wq]

Last example was funny😂

[@CentumAcademy]

Thanks Sachin...Funny examples help in retaining the concept for longer time :)

[@whatsscam8593]

How it is done I can't understand 28:08

[@dyresty7671]

e^c4 x c3 x e^x will be the equation. Terms e^c4, c3 are constants. Hence it is so

[@venkatachalame9164]

I think this sir may be my maths teacher so that I can score very good marks in twelveth

[@CentumAcademy]

Thanks for those good words Venkat... All the best

[@shrinathm.g.8183]

Fantastic, good refresher course for me after decades. Sir more DFE application examples pls

[@CentumAcademy]

Sir you can find the complete play list on the description.

[@mdhabeeb621]

"Exponentially" Awesome with respect to differential equations (pun definitely intended)

[@sleepycorn349]

(y-a)dy/dx went (a-y)dy/dx how??

[@Deltastatics]

Multiplied by -1 on both sides

[@wrj9221]

arbitrary....

[@hannukoistinen5329]

Bud idond can speaks english, because I dond undersd id.

[@mdsharafathossain3767]

I really liked the way you explained...
but your camera work, screen size determination and also the choosing of the background color is very upsetting...
Please if possible try to focus on these things as well...

[@patilsruthi4084]

perfect teaching..

[@zaminaibrahim4716]

Thank you sir