8]Modified Euler's Method - Numerical Methods - Engineering Mathematics

[@CarlosDominguez-yr1ic]

Hi. I detected mistakes in the calculations at the minute 6:01 of the video. I calculated the step 1 and step 2 just in case. I also calculated the steps in Excel. Modified Euler’s Method Differential equation y’=x+2y y(0)=0 h=0.1 Calculate y(0.2) CALCULATION OF THE FIRST STEP xo=0 yo=0 h=0.1 f(x,y)=x+2y f(xo,yo)=xo+2yo f(xo,yo)=0+2(0) f(xo,yo)=0 y1=yo + hf(xo,yo) y1=0 + 0.1(0) y1=0 x1=xo+h x1=0+0.1 x1=0.1 f(x1,y1)=x1+2y1 f(x1,y1)=0.1+2(0) f(x1,y1)=0.1 y1(M)=yo+0.5(f(xo,yo)+f(x1,y1))h y1(M)=0+0.5(0+0.1)0.1 y1(M)=0+0.5(0.01) y1(M)=0.005 The result of the first step is x1=0.1 y1(M)=0.005 CALCULATION OF THE SECOND STEP X1=0.1 y1=0.005 h=0.1 f(x,y)=x+2y f(x1,y1)=x1+2y1 f(x1,y1)=0.1+2(0.005) f(X1,Y1)=0.1+0.01 f(x1,y1)=0.11 y2=y1+hf(x1,y1) y2=0.005+0.1(0.11) y2=0.005+0.011 y2=0.016 x2=x1+h x2=0.1+0.1 x2=0.2 f(x2,y2)=x2+2y2 f(x2,y2)=0.2+2(0.016) f(x2,y2)=0.2+0.032 f(x2,y2)=0.232 y2(M)=y1+0.5(f(x1,y1)+f(x2,y2))h y2(M)=0.005+0.5(0.11+0.232)0.1 y2(M)=0.005+0.5(0.342)0.1 y2(M)=0.005+0.0171 y2(M)=0.0221 The result of the second step is: x2=0.2 y2(M)=0.0221 I calculated 10 steps using Excel and I got: n xn yn 0 Xo=0 Yo=0 1 X1=0.1 Y1=0.005 2 X2=0.2 Y2=0.0221 3 X3=0.3 Y3=0.053962 4 X4=0.4 Y4=0.10383364 5 X5=0.5 Y5=0.175677041 6 X6=0.6 Y6=0.27432599 7 X7=0.7 Y7=0.405677708 8 X8=0.8 Y8=0.576926803 9 X9=0.9 Y9=0.7968507 10 X10=1 Y10=1.076157854 My name is Carlos Vicente Dominguez. Best regards from Caracas, Venezuela.

[@nooraelmadhoon1116]

very nice thank you

[@jyotipurba3513]

Thnku sir !!!

[@saheliaratder9076]

Thanks a lot for this detailed analysis 🙏.

[@CarlosDominguez-yr1ic]

@@saheliaratder9076 you're welcome

[@CarlosDominguez-yr1ic]

@@nooraelmadhoon1116 you're welcome

[@Official-tk3nc]

Mam i am big fan of u

[@bikashsharrf6468]

6:00 the value of y1 is 0.005 .

[@farjanasanta2496]

Thank you so much apu...I can easily understand what you teach...❤

[@nvlarcht]

There is a small mistake done at 5:44 when you used 0.05 as the value of modified y1. It should be 0.005, not 0.05. Which effects the then calculated value of modified y2. also you wrote 0 for the y1 value on the same calculation but it should be 0.005. The two mistakes cancel each other out in the calculation by luck, so, the answer is correct in the end. everything else was very clear and fast. Also your English is more understandable than most other Indians that do similar tutorials. So, keep up the great work.

[@ashwinkashyap8537]

In books and on net it is said that we have to calculate modified result until they are consistent but in the video it is calculated only once,Could you please explain the difference between your approach and the one i refereed above?

[@realitytube1]

Please tell the difference between modified Euler and Improved Euler method...thaanks

[@ajayandripilli9368]

Mam can I get the link for runge kutha method

[@ehsanomar3992]

One of the simplest and The best method of teaching wish u a happy life :)

[@YSREduTech]

That means a lot :) Thank you so much. If you are preparing for GATE exam 2019, suggest you to through other playlists as well. For any doubts, feel free to ask.

[@iammoni867]

Thank you Mam.. you made my day.

[@skkumar4u]

Is y1 or y1 modified should be used to find y2??

[@malikwasiikhaan8976]

Thanks to you dear! I was facing alot of probs after watching this lec im complete satisfied.

[@YSREduTech]

So glad u liked the content :) Do share the video with others as well. All the best!

[@vaishnavlimbachiya5215]

hello how we CAN KNOW THAT WE HAVE TO SOLVE THESE NUMERICALS IN THESE MUCH STEPS?

[@mawaismanzoor3264]

Ma'am Can you give me ans of my this question that Define over determined and under determined of the system of linear solutions? PU 2017.

[@RARE_irl]

Ma'am apne jb y2 nikala hai isme to y1 ki value ek bar old vali li hai lkin isi me ek bar modified value li hai y1 ki?????????

[@udaysaini7936]

How can we find true value to find error in solution

[@nithinmn4328]

mam when u calculate the modified euler method in y2 1st u substitute y1= 0 then u substitute y1=0.005 which one is the right value for y1

[@saketsahu7877]

This channel deserves more appreciation... Nice work 👌

[@YSREduTech]

+Saket Sahu Thank you. That means a lot. Share with your friends so that maximum students will be benefited.

[@erminejose4188]

Ma'am for EEE dept if v just focus on these topics which u have uploaded till now , is enough from chapter numerical methods??

[@YSREduTech]

+ermine jose Yes, we have covered almost concepts required for GATE. Once your concepts are cleared through videos, solve maximum problems.Videos on various streams are available in the playlist. If you have any doubt in examples, feel free to ask.

[@erminejose4188]

YSR EduTech thanks ma'am...I v no doubts in this topic... U explain great

[@YSREduTech]

+ermine jose Thank you so much. All the best for your studies.

[@ninadlotankar]

In second iteration.. value of y1 is taken 0 outside the bracket and 0.05 inside the function.. confused

[@YSREduTech]

+Ninad Lotankar Value of y1 is 0.05 i.e. modified value obtained previously, y1= 0 is written by mistake. Check out the final answer. It's correct. Thank you.

[@ninadlotankar]

Great thanks.. so modified value 0.005 is to be used everywhere in y1 ..even while calculating value of y2 , right ?

[@YSREduTech]

+Ninad Lotankar Yes. Only modified value should be used for solving next iteration. Thank you for watching. Let us know if you want any topic to be explained.

[@YSREduTech]

+Ninad Lotankar Yes, modified value 0.05 should be used throughout to solve.

[@anwarshah3349]

Same confusion but now its clear THANKS MA'Am

[@AbdulJalil-ge1ty]

Nice explanation, but please make table for better understanding. Thanks

[@shyamnarayannair6281]

Thanks mam, my notes was entirely blunder and I was really confused. This lecture was really useful for me....

[@humam1169]

thanks for the clear explanation

[@muhammadharis87]

Shouldn't y1 be 0.005 in y2 modified?

[@VINAYKUMAR-mx9fj]

Mam i think that this is improved euler method.Beacause in modified euler method we take f(x+h/2,y+h/2)as a slope.

[@MdArif-vp7pw]

Hey Suprabha, In your last video Y2=0.01, so it cannot be equal to 0.0215 here (since same question). After calculating, I got: Y2(m) value = 0.0165 which should be the answer here. Thanks :) *Do pin it or pin your own comment with the right answer.*

[@anushinde7238]

Maam its superb got the concept now ,thank you.

[@YSREduTech]

You are welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@tenacious1939]

thanks you very much maam.. Can I get ur mathematics 4 study materials pdf please..I am government college student ...help me

[@YSREduTech]

+ramesh bh You are welcome. Few pdfs are already provided in the video description. Rest we will provided soon. You may mention specific topic you find difficulty in.

[@tirumalasubbarao9586]

Meru y1 place lo modified y1 substitute chasara ADI current ana meru chasina process

[@knowhere9086]

Total video was good. Well explained the method but I guess, We have to replace the values of Y's with the most updated value of the Y's. Like for Y2 = Y1 + F(x,y)h ,here we should replace the value of Y1 with the newest value of the "y" which is modified Eular Y1 value. Please let me know if I'm correct. Thanks.

[@panugothujagan3632]

Nice explanation

[@shambhav3544]

I think in each step you are taking the value of (Y)n...(i.e. Y0, Y1) from previous iteration of Euler method, but it should be from modified Euler method.... Kindly clear my dought why it is so ❓

[@muhammadzamangujjar8403]

Ma'am how you find Xo=0 ?

[@veginativenkateswarlu7002]

Superb explanation, I 🙋clearly understand. And your voice makes enemies into friends. I hope you understand thankuuuuu

[@YSREduTech]

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[@ziafuzail6191]

I like the way you conclude at the end ....!

[@YSREduTech]

+Zia Fuzail Thank you. Subscribe to the channel YSR Edutech for latest updates. Share the videos with your friends and help them too.

[@abusufiyan930]

Mam you make a what's group for clearing the doubt

[@abusufiyan930]

Mam plzz upload a video on Taylor series

[@YSREduTech]

Yes, we will soon upload video on Taylor series as well.

[@gargichakraborty2378]

To find the modified value of y2, you put the modified value of y1 . Otherwise very good explanation.

[@jenish8305]

In book all things are complicated there are weird notations But after watching your video all my doubt are clear . Thank you mam. ❤️

[@SonuKumar-vy1yk]

Mam your style of saying thank you is so cute .loved it

[@YSREduTech]

Glad someone noticed 😀 Help us to reach maximum students by sharing the videos with your friends. Subscribe to the channel EduTech for latest updates. Thank you.

[@ritikaparbakar8474]

mam jb H given na ho . to hum H kese find kre

[@narzimhassan1250]

really helped me a lot.thank you mam.

[@YSREduTech]

+narzim hassan You are welcome. Share the video with your friends so that maximum students will be benefited.

[@Ghetto_einstein]

In the final calculation on the right side on the board, 3rd row from the bottom, you used "normal x-1" and "y-1 modifed"???.... Why did you not use "normal y-1"???....

[@maheshwarareddyjedla6991]

explanation is very clear

[@YSREduTech]

Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@techsmart6708]

There is amistake in y2m

[@santoshyelagandula7531]

Madam your way of teaching is very understandable....but please avoid mistakes while substituting the values that makes me lot of confusion

[@viral_plays1081]

tysm mam🙂...easiest way the problem can be solved👍

[@YSREduTech]

You are most welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@jayant9151]

Body

[@jayant9151]

Me mobile

[@etseoghenaigbanoi4717]

when i solved based on using 0.005, i got 0.022 instead of 0.0215, is that wrong?

[@nagarajindian7448]

U should get 0.0165

[@selvams7061]

please explain complex variables topics

[@YSREduTech]

Check out the playlist titled complex analysis. We have uploaded few videos and complete it soon.

[@maruthiavula8368]

simpson 1/3 and 3/8 rules are importent plz uplod those lecture ...........

[@YSREduTech]

+Maruthi Avula Yes, sure. We will try to upload as soon as possible. Thank you for watching.

[@maruthiavula8368]

thanku so much for replay and trepizoydal rule also importent for mechanical dipartment

[@YSREduTech]

+Maruthi Avula Video on trapezoidal rule will be uploaded within two days.

[@maruthiavula8368]

thankyou supraba garu

[@basavarajbiradar4047]

numerical method videos are missing videos 1 2

[@YSREduTech]

+basavaraj biradar Please check once the playlist will be updated.

[@extremeguys6109]

Please provide more question related to emm

[@YSREduTech]

Sure! Thank you for suggestion. We'll try to upload video on same. If you are preparing for GATE exam 2020, suggest you to go through other playlists titled linear algebra, calculus, numerical methods, complex analysis, vector analysis etc. For any doubts, feel free to ask.

[@profm.a.3.s617]

good work

[@YSREduTech]

Sure! Thank you for suggestion :) If you are preparing for GATE 2019 exam, suggest you to go through other videos in the playlists. For any doubts, feel free to ask!

[@profm.a.3.s617]

thank you and i have already subscribed your channel :) keep going

[@venkateswarlupedada1583]

maam u did a mistake at modified y2 . there u kept y1 as 0.05 u should take 0

[@learnmathematics9382]

mam ur lect is goood but u must need some correction in steps.cuz u did wrong in modified steps 2nd u must put the modified valueus in that steps

[@baljodhsingh4941]

tangents on the curve not on points

[@kunjankaim6250]

Great job. Thanks

[@YSREduTech]

Thank you so much! If you are preparing for GATE examination 2019, suggest you to go through other videos in the playlists titled linear algebra, numerical methods, calculus, complex variables etc.

[@kunjankaim6250]

YSR EduTech thank u for ur suggestion ma'am 😊.. But this viewer of urs is preparing for ISS(Indian statistical services).. This video helped me.. Thanks

[@YSREduTech]

Oh great! Let us know if we can help you in any possible way. All the best!!!

[@ajmalhasmi7751]

kya mam doubt punchne k lye aap whatsapp contact de sakte h

[@YSREduTech]

+ajmal hasmi You can ask doubts in comments or mail us on [e-mail]. Your doubt will be resolved soon.

[@shuvampodder2236]

THE ANSWER IS WRONG AS IN THE LAST BUT ONE STEP OF THE VI9DEO LECTURE THE CALCULATED VALUE OF Y2[m] was 0.005 but in the last step it was taken as 0.05. KINDLY CORRECT IT .IT WAS JUST A SIMPLE ERROR ELSE EVERYTHING WAS FANTASTIC

[@arjoy4942]

Much clear now thnx

[@YSREduTech]

Thank you so much :) If you are preparing for GATE exam 2019, suggest you to go through other playlists titled linear algebra, calculus, numerical methods, complex analysis, vector analysis etc. For any doubts, feel free to ask.

[@saurabhkeshri6930]

In book it is solved length-y but this video make it so short Thankyou, it really helped 30,001 viewer😁

[@YSREduTech]

You are most welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask. And thank you for being the 30001 viewer.

[@syedamarraza656]

Great work! Thank you so much

[@YSREduTech]

Most welcome! If you are preparing for GATE examination 2019, suggest you to go through other videos in the playlists as well. For any doubts, feel free to ask!

[@hichemhichem122]

there is mestake when you calculated y2 .you shoud take value of y1=0.005 and in the final you find it y2=0.0221

[@nikhildcunha4335]

thank you very much

[@YSREduTech]

Welcome:) Do go through other videos and share with others as well. Thank you!

[@ATULKUMAR-qx5hs]

Very good and very helpfull

[@YSREduTech]

Thank you. Share the video with your friends and help them too. If you are preparing for GATE examination 2019, suggest you to go through other videos in the playlists titled linear algebra, vector analysis, numerical methods, complex variables, calculus etc.

[@golmolenahisidhibaatein6180]

Thanks YOU VERY MUCH. oh my people:y1 value is neither 0.05 nor 1 it's only "ZERO".

[@sumanthnaidu1385]

Super mam

[@jayant9151]

Y1 0 he? Or Modified Y1 0.005 he na? To f(x1,y1) 0 kyu nhi e?

[@vaibhavrshinde9252]

Thank you madam Super explaination

[@YSREduTech]

You are welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@ukk2954]

Thank you ma'am

[@YSREduTech]

+Uk K You are welcome. Go through other videos in different playlists like matrix algebra, vector analysis, numerical methods, calculus, complex analysis.

[@waisyousofi9139]

Thank you so much miss ! It helped me.

[@YSREduTech]

Most welcome! If you are preparing for GATE examination 2019, suggest you to go through other videos in the playlists titled linear algebra, vector analysis, numerical methods, complex variables, calculus etc. For any doubts, feel free to ask.

[@sharukhan1864]

Nice video...but I think u afraid a little bit in front of camera......it happen at first...any way nice explanations..keep uploading more video.

[@YSREduTech]

Yeah...true. Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask. Thank you:)

[@naidubangaru1543]

Mam please uploads more videos on engineering maths for gate 2019

[@YSREduTech]

Yesss!!! We'll soon be uploading videos on probabiltiy and statistics.

[@AJrocks2june]

I think you should use y1= 0.01 in second step instead of y1=0

[@ravishankarkumar086]

Mam plz upload probolity lecture

[@YSREduTech]

Sorry for delay. We'll try to upload videos on Probability asap.

[@ravishankarkumar086]

YSR EduTech thnku so much

[@karun10ful]

Here the solution to y2 and y2 modified is wrong. Please correct it.

[@sarathkp4716]

Atlast how Y(2) became Y(.2) ?

[@alpharomeo8751]

You made it very simple and short. Thank you mam.

[@YSREduTech]

You are welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@mridupabantalukdar]

Wrng.. y2=y1(M)+hf(x1,y1(M)) Once y1(M) is calculated , it is used for further calculation as y1.

[@ashishkumarpatelcp]

Its answer is wrong. In Y2^M = you are putting the value of first y1=0 then y1=.05, but actual value of is 0 (y1=0). How is possible in one formula you put the value of y1 two type. ?? From where you got the new value of y1= .05

[@professor_DJ_010]

excellent didii

[@YSREduTech]

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[@8ungen]

Thank you 👍🏽👍🏽👍🏽

[@YSREduTech]

You are welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@reubenroy]

i think she messed up the graph part of it..

[@simbol5638]

Great

[@YSREduTech]

Thank you so much for appreciation :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@trustme7895]

Last value is not correct

[@mudassirshaikh222]

Thanks mam

[@YSREduTech]

You are welcome :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@mudassirshaikh222]

YSR EduTech mam please upload a video on R-K method

[@s.g0488]

Your thank you at end of the video😍😍😍💘💝💘💘such a beautiful voice I have ever been heard.

[@YSREduTech]

Thank you so much for appreciation :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@bhuwneshwarisharma7212]

@ 5:43 its 0.005. otherwise videos are too good

[@kapilsaini0031]

H/2 kha h🙄

[@malikfarhadkhokhar1598]

Thanks

[@ektakumari1054]

Y2 value is wrong

[@Rajankumar-jq6eo]

Chebseys Method

[@YSREduTech]

Sure! Thank you for suggestion. We'll try to upload video on same. If you are preparing for GATE exam 2020, suggest you to go through other playlists titled linear algebra, calculus, numerical methods, complex analysis, vector analysis etc. For any doubts, feel free to ask.

[@nhlakaniphogqotsontlaki2095]

I got 0.0221 for this example

[@afaanali4337]

same confusion is going on in my mind as well

[@YSREduTech]

+Afaan Ali modified value 0.05 should be used throughout to solve.

[@baljodhsingh4941]

wrong explanation of digram

[@neelamacharya1979]

Figure is wrong

[@saumojitbhattacharjee7292]

answer is wrong didi..it should be 0.0165 pls check once

[@venkateswarlupedada1583]

she did a mistake at modified y2 . there she kept y1 as 0.05 she should take 0

[@DevendraSingh-xd3bj]

ho jata hai bhai itna to kyo apna intellengedikha rha hai

[@kapilsaini0031]

Madam smj nhi proper

[@sachinjaiswal9442]

U r very beautiful mam just like ur teaching. 😘

[@YSREduTech]

Thank you so much for appreciation :) Help us to reach maximum students by sharing the videos with your friends. Also, subscribe to the channel EduTech for latest updates. For any doubts, feel free to ask.

[@buildup6719]

Ok