Differential Equations - Introduction - Part 1

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• [XII][Mathematics] Int...
Chapter Name: Differential Equations
Grade: XII
Author: AKHIL KUMAR
#centumacademy, #jee, #akhilkumar
__________________________
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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[@muhammadqasim8677]

Fully mathematics language
Full energy of teaching
Good control on step by step

[@lemonzest905]

I hear the accent and I know this video will save me from failing

[@CentumAcademy]

Thanks for watching:)

[@lalablah8493]

and the handwriting

[@DeeptiSharma01]

Really

[@Cryptorie]

😅😅😅 same here I just love Indians they teach to understanding

[@subbukrish]

i am a senior citizen now. i was a very poor student in Mathematics as in other subjects. My teachers were excellent and it will be sinful to blame them for my not doing well in studies. i was not attentive and that is the reason for not well in studies. so dear students please do not allow you mind to wander when u r taught ant subject. it is worse than losing wealth or jewels. Concentration is the key to acquire unlimited knowledge. This lecture is really good and he teaches fine.

[@CentumAcademy]

Thanks for those valuable words Sir...

[@influential7693]

Sir your energy is literally being passed on to me.. Thank you so much for teaching this topic.

[@CentumAcademy]

Thanks ... all the best

[@shaniyakhan5292]

Better than other videos on this topic , explained every term very clearly. Keep teaching and helping us....

[@godfidence1]

Not a single minute into it, I'm very certain this video will make me fall in love with diff eq .. 😀

[@mshahadatislam5068]

no unnecessary gossip, full energy..one of the best video i ever seen... Thanks

[@soumyasingh6142]

This was so informative, I'm pursuing (2nd year) btech yet I prefer this channel time to time, for the love of maths. Thank you, for these efforts for jee kids ❤️

[@tm.thackeray4717]

Apsulutaly right

[@hanningtonkayanja4033]

I like the way you explain. very clear and understandable by any category of student.
Thanks

[@cornerstonebalogun5497]

For question (2)
Is it possible to do this
Sin(p) = p - p^3/3! +p^5/5! - ... Hence
Order: 2 degree: 1

[@smiley6nofx]

Very well explained sir! far easier to understand than my own professor. Thank you so much for your videos. ❤️

[@anandyadavyadav3101]

Good marnig hae

[@anilnikam795]

Nice sir

[@kiran9651]

Thanks for teaching us 🙏

[@emmanuelandrew560]

God bless you sir
You make this topic very easy for me 👍👍

[@georgesadler7830]

Professor Kumar, thank you for an outstanding Introduction to Differential Equations. This topic really helps me understand the Order and Degree of a Differential Equation.

[@ajju3236]

Sir in last problem can we convert dy/dx=√3x+5 as (dy/dx)²=3x+5,If so then the degree becomes 2? Explain it sir

[@desmondadutwum9925]

Thank you very much. I have an exam tomorrow and you've really helped me with this video

[@jarinaktermou5348]

you are truly a gem. Finally understand the concept of differential eq

[@CentumAcademy]

Thanks for watching… all the best from Centum Academy

[@medhavipandit5135]

the very last one is 2nd degree because it wasn't previously a polynomial eqn??!!

[@lydiawanjiru4184]

Love the way you explain each step
Easy to understand
Keep up the good work

[@CentumAcademy]

Thanks a lot for your words of appreciation

[@mdkabirbangladesh]

Just in 17:40 you made the topics understandable. Thank you.

[@maribeljorbina6477]

Thank you sir! I now understand the terms and conditions in getting the order and degree in differential equation. Thanks a lot. Keep it up.

[@CentumAcademy]

Thanks for watching the video...alll the very best

[@harshanilakmali2636]

Very clear and understandable. Thank you!

[@tanvirchowdhury1360]

Thanks A Lot...From Bangladesh🇧🇩

[@g9511]

Sir you explained in a very good way now I'm fan of yours I want to be with you till my final exams😉😉

[@CentumAcademy]

Thanks Gurpal.. Wishing you the best for your final exams...

[@kabandajamir9844]

So nice the world's best teacher

[@tejavathnagaraju3403]

An clear and exactly information and teaching is good sir ... thank you

[@CentumAcademy]

Thanks Nagaraju...all the best

[@uzairahmed9727]

Undoubtedly a well explanation thank you so much..

[@Jesner-vh4fq]

I like the way you teach, thank you Sir!

[@icerislive]

Sir thank to you for clearing this doubt for me and the manner of your explanation is the best i ever seen.
Thank you sir

[@CentumAcademy]

Thanks for those words Ishant

[@kushikalluri6202]

Thank u sir good
explain in maths

[@joshuafranzosayta9274]

Thank you sir...

[@saiakella2281]

Very well explained sir....to share more videos thank you sir

[@patrickdimarucut2745]

Very well explained!! Thank u

[@TC-hh8dc]

Good nemories of all my Engineering classes in college.

[@gabrielkuchherbalachiek3870]

You are one of the best tutor I trust thank you

[@davidvolland7250]

Would it be easier to say “ the degree of the highest differential coefficient, when all differential coefficients in the equation are expressed in polynomial form? Did I say the same thing, is this clearer? COMMENTS PLEASE

[@CliffSedge-nu5fv]

Yes, and it would be even better to not use the word coefficient that way.

[@quickmeal8513]

👍👍👍👍👍👍👍👍👍👍👍Honestly this lecture opened my mind... Thank you so much sir 🙏🙏🙏🙏🎉🎉🎉🎉

[@ssingla1794]

awesome video.. very well explained sir.. thanks for the video..

[@elsiesloth2269]

Well explained. Thankyou 🙏

[@zendoc49]

you tube gives forum and pulpit for every charlatan. This guy takes the cake. I know he knows his stuff but there is a big divide between knowing for self and knowing so you can teach others. I hope he has a primary job.

[@lifeofurpundergrad..11]

❤️❤️this video saved me

[@CentumAcademy]

Glad that you liked it Mitu Tajmeen... all the best

[@loisemuthee2027]

God bless you sir this is super

[@123soujanya3]

Sir degree of differential equation dy/dx +2dx/dy=7 is

[@ramalakshmi6258]

Very nice to explain. Easily understood

[@CentumAcademy]

Thanks Rama Lakshmi.... all the best...

[@mangadoddisuresh9134]

Really excelent sir

[@CentumAcademy]

Many many thanks

[@Puja-fc2yy]

Thank you so much sir.

[@Mathsandfun-1]

Thank u sir😊and ur writing👌👌

[@anjalipatil6647]

Yes it's easy way to understand and find out.. thank you so much sir.. God bless u more 👍

[@krishnaraj3989]

This was one of the best explanations of differential equations on youtube, Thank you Sir! Please keep going!

[@CentumAcademy]

Thanks for those words Krishnaraj...all the best to you

[@mijopalatty]

Tnq sirr...really useful...

[@CentumAcademy]

Thanks and keep watching

[@sanitham9483]

Thank you sir. You are really a good teacher.

[@miriamikechukwu1875]

Can I give likes 100 times?
Best explanation I have found so far. Thanks sir

[@CentumAcademy]

Your one like is worth million likes … thanks a ton

[@sridhiralarenuka5650]

Really super sir thank you so much sir

[@CentumAcademy]

Thanks Sridhirala Renuka... wishing you the best...

[@sridhiralarenuka5650]

@@CentumAcademy thank u sir

[@hemalathayalamarthy7312]

Thank you so much annayya
Because I can understand u teaching

[@venkatachalamsrinivasan2208]

Every second matters in this video

[@1973jdmc]

Thank you so much for this video- if you were a super hero you'd be MR FANTASTIC -

[@tm.thackeray4717]

Apsulutaly

[@gabytorres1848]

you explained this so well i've been watching videos for like half an hour and this is the first one I actually understand. thank you so much and keep doing what you do!

[@CentumAcademy]

Thanks for those words...

[@successfulvictorypublisher6090]

Very clear, step-by-step explanation of confusing and complex, higher-level mathematical concepts...expert lecturer! Keep up the great work Sir, and more of such Mathematics-based videos please! God bless you and all! Even a so-called weak or very weak student of Maths can go on to shine and outshine with such a clear-cut training, for this I personally believe!

[@Trafalgar_D_law_]

Keep doing some more videos sir it's very helpful

[@yuvankumar.a3152]

crystal clear ;super explanation; plzz keep doing on further videos -))

[@CentumAcademy]

Thanks Yuvan...best wishes

[@bhuvanadhanya185]

Thanks for extraordinary class pls upload more videos

[@GammaFZ]

you make this really interesting. Slapped like

[@ananyadutta2637]

Sir thanks you really talk about "to the point'thanks sir

[@CentumAcademy]

Most welcome

[@sarahjeancole7384]

Thank you so much!

[@CentumAcademy]

Our pleasure Sarah… keep watching

[@tanmoydas8884]

Thank u very much sir

[@CentumAcademy]

Thanks Tanmoy...best wishes...

[@avinashnegy]

Tnkq sir now I better understand

[@CentumAcademy]

Thanks Avinash...all the best

[@shylapascal8476]

You explained it fully and clearly,easy to understand to sir!Keep teaching!

[@CentumAcademy]

Shyla Pascal. Thanks for your feedback. Let us know if we could help you in other topics as well. Centum Academy wishes you all the best

[@shylapascal8476]

@@CentumAcademy tq centum academy

[@NirajSingh-pf9vm]

Your video is very good, make as much video as you can, we help people.

[@sridhiralaradhika5745]

Really super sir

[@CentumAcademy]

Thanks Sridhirala Radhika...wishing you the best.

[@syedmdabid7191]

Why can't we add power of the coefficient with power of derivative as:- x dy/dx + xy, x^2+xy.
Here each term' degree should be 2 as the 2nd functionand So homogenous but it isn't.

[@ASHISHVERMA-xh4dd]

beautifully & neatly explained... keep up the goood work

[@CentumAcademy]

Thanks a lot 😊

[@kentdelacruz9972]

Thank you Sir!

[@paulcresent5723]

The question with the sin has order 2 and degree 1 because degree is the exponent of 'highest differential coefficient ' and here the highest differential is d^2y/dx^2 and hence
Order 2 deg 1
also sin can also be changed to x+x^3/3!.....

[@CentumAcademy]

If that's the case... then any transcendental function can be expanded using Maclaurin series ..so degree must always exist for any DE??? (even expressed as non polynomial forms)..But unfortunately it doesn't work that way.

[@reginedevera533]

This video is helping me a lot. Thankyou
-From Philippines

[@shantanusingh6433]

Can u tell me in which class u r

[@creatingpassion7542]

The term log (xy) in last differential equation has y in it so how can then degree be defined???

[@iamproplayerfreefirerudra8805]

Great sir
Thank you very much

[@CentumAcademy]

So nice of you

[@poonam3718]

What is the degree of the differential equation t d²y/dt²+t²dy/dt-(cost) √y=2t²-3t+4 .???

[@emmanuelmanso1632]

Degree is one

[@secretlistener__5433]

Thank you sir...well explained and nice class...!!

[@zohaa302]

do make lects of other chp also . great techig sir

[@prasadpadma6825]

Sir u explained very nicely really I got the extual concept from you sir. I am wishing you to make some more videos so that all JEE students are capable to understand the concept perfectly without confused

[@CentumAcademy]

Thank you, I will

[@romelrosario1913]

...(very)^1000000 well explained sir...far better than my college teacher..pls. keep on doing math tutorials sir..your video is very helpful..

[@maaarbs81]

very nice explanation
very helpful

[@CentumAcademy]

Thanks 👍

[@ambikabettad1003]

Thank you sir

[@CentumAcademy]

All the best...

[@padmakumari2502]

Best explanation

[@nagarjunanaf5325]

🙏🙏u r great sir

[@CentumAcademy]

Thanks Nagarjuna

[@Sarya1994]

Damn... U explained in so mindful manner that m not able to forget it now

[@kpmathsacademy]

outstanding sir

[@donnaochieng8842]

Kindly assist
Solve the linear differential equation
X(x-1)dy/dx-(x-2)y=x^2^(2x-1)

[@donnaochieng8842]

Obtain the general solution of the differential equation
Y'''-7y"+14y'-8y=0

[@pkavaks]

At minute 17:15 you write another example that does have degree. But because of the log(xy), it doesn't have degree. Despite this fact, thank you very much for the video, it's helpful and understandable.

[@commerceuses8931]

Nice teaching sir

[@krishnakumarlainitha4893]

But we can change the sin as polynomial by tailor rule ..right?

[@sisaybirle3462]

Very nice i like it

[@madhavikorrapati4921]

Good teaching sir. Pls give me the answer for this question sir
Order and degree of log(dy/dx) = ax+by?
I thought order is 1.and degree not defined.
But somebody is telling dy/dx=e power ax+by.then order 1,degree1. What is correct sir. Give me an explanation.

[@akhilkumar4346]

Order and degree both are 1

[@madhavikorrapati4921]

@@akhilkumar4346 but in the class sir also gave the explanation for transcedental functions degree not defined nooo. That's why I am getting doubt

[@akhilkumar4346]

@@madhavikorrapati4921 degree is not defined when you are not able to convert from transcendental to polynomial form...but in the question you asked it can be converted to polynomial form

[@madhavikorrapati4921]

@@akhilkumar4346 ok thank u. I just thought that only

[@ishankavinda9414]

Explain very clearly . Appreciate it

[@CentumAcademy]

Thanks Ishan... all the best

[@ishankavinda9414]

@@CentumAcademy can you explain seperable equation and homogeneous ? What's the different of arbitrary constant and parameter??? Need your support to clearly understand to me!

[@CentumAcademy]

Hi Ishan, thanks for writing to us. You can check the link in the description. You will find the required content there. Let us know if you need more assistance...

[@Notflix.081]

Thanks you so much sir , I learnt a lot☺️

[@CentumAcademy]

Thanks to you Bibian… keep up the spirit of learning always high…

[@syedmdabid7191]

be 2 as the 2nd function has the degree 2 and homogenous. But so isn't.

[@raenraebautista4869]

this is great

[@Sakshi19.]

K(y'')^2 = [1 + (y'')^2]^3 plz give sol of this prob

[@raaghavir1059]

Really great explanation sir 🙏🙏

[@CentumAcademy]

Thanks for watching Raaghavi... best wishes to you

[@raaghavir1059]

Thank you sir. I scored well in my exams this time👍🙏🙏

[@indudevi6122]

Well explained