Runge Kutta Method Easily Explained + Trick on Casio fx-991ES Calculator!

Playlist of all my Numerical Methods videos-
• Newton Raphson Method ...
Today I'll tell you how to solve First Order Ordinary Differential Equations by Runge-Kutta Method of 4th Order. Also,how to do the calculations easily using Casio fx-991ES Calculator.
Topics explained in this video-
1. Understanding First Order Differential Equation question
2. What's the meaning of dy/dx and function of xy
3. How to calculate K1,K2,K3,K4 for 4th Order Runge-Kutta Method,with detailed explanation in each step
4. How to remember Runge-Kutta Method formula
5. What is interval of differencing or h
6. How to calculate y1 or the value of Y for given value of X
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I've uploaded videos on Statistics,Numerical Methods,
Business & Financial Mathematics,Operation Research,Computer Science & Engineering(CSE),Android Application Reviews,India Travel & Tourism,Street Foods,Life Tips and many other topics.
And a series of videos showing how to use your scientific calculators Casio fx-991ES & fx-82MS to do maths easily.
Join me at my KZbin Channel- / sujoyn70
Join me at my Blog- www.sujoyn70.blogspot.com

[@onkarphatak434]

This video has no tricks, just plain substitutions. :3

[@shobhaagrawal2862]

U named the video trick on calculator for runge kutta method but where's the trick The method u explained is already ecplained in other videos also.......

[@CarlosDominguez-yr1ic]

Hi Sujoy. This was a great video. I did an additional calculation. I calculated the error of approximation between the exact solution and the approximate solution at x=1.2. In order to do that I had to calculate the exact solution of the differential equation by solving the equation analytically. I used separation of variables. y´=yx y´/y=x Integral (y’/y)=integral (x) ln(y) = (1/2)x^2+c e^(ln(y))=e^( (1/2)x^2+c ) y=e^( (1/2)x^2+c ) y=e^( (1/2)x^2 ) e^c y=e^(0.5x^2) k y=k e^(0.5x^2) The initial condition was y(1)=2, so calculated k 2= k e^( 0.5(1)^2 ) 2=ke^0.5 k=2/e^0.5 k=2e^(-0.5) So, the exact solution is: y=2e^(-0.5) e^(0.5x^2) The exact value at x = 1.2 is y_exact=2e^(-0.5) e^(0.5(1.2)^2) y_exact=2.49215 According to the video the approximate value was: Y_approx= 2.49214 The error of approximation at x= 1.2 is error = | y_exact-y_approx | = |2.49215-2.49214|= 0.00001 I am a graduate student of specialization in electric power systems at Universidad Central de Venezuela in Caracas. Best regards from Venezuela.

[@ranukumar9554]

well sirr

[@NaveenKumar-sf7ql]

Thnku So much! Your Lessons saved my life! Subscribed!

[@wingsofwords6451]

Thank you sir, well explained the topic.very helpful video

[@merajkhan4546]

thank you sir ! your all videos are helpful !

[@meenameena7360]

I am still understood no dought about that method no confusion sir thanku ..

[@Hearit143]

this was ssooooooo much helpful , it was clearly understable thank a lot ,,,,

[@jayasree1701ajs]

All your videos are soo good, thanks a lot sir.

[@shrivatsadeshpande6780]

Thanks Brother.... Ur explanation was very easy💯 Wish me luck...today is my M3 😜

[@sky00567]

Your understanding method is good sir thank you sir

[@MuhammadWaseem-pg3zn]

thanks brother , best method of understanding the RK Method

[@sadhanadasam780]

Thanxs a lot sir..... all ur video lectuers helped a lot in learing all the numerical analysis topics....:)

[@elperroshane1362]

great video bro now i understand mk4

[@kunalkp2629]

thanks!! this video was really helpfull :)

[@sabintimilsina3705]

thank you sir! great video

[@saadjaved6072]

Thanks a lot sir.......you are great..........

[@wenslerchui9805]

awesome video. thankyou

[@rafickmallick4153]

Thank You for help us. (specially me).

[@ajithfrancis4824]

do you have important questions for m4 statistics and numerical methods

[@AkashVerma-hh9th]

Awesome technique

[@rahulsonkamble3884]

Very nice & understanding video

[@mohammedmudassir837]

Nice.. It was helpful..

[@heenaguwalani6302]

thank you so much sir..your explanation is very nyc :)

[@amulyaboudas9365]

tq very much sir for u soluctions tq very very much

[@offroader1OO]

You are the best man! Thank you a lot!

[@sujoy70]

It's my pleasure! Kindly subscribe to my KZbin channel so that when I upload a new video,you get notified. Please share my channel's url among your friends and family. Because knowledge is meant to be shared.

[@leonardosanabria8351]

Thanks a lot for your video man, It helped me understand it better

[@sujoy70]

Leonardo Sanabria It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@blackdevil7276]

it helped a lot in my exam

[@venkeydaida]

thank you so much bro.u r gave me a very good way to prepare well for exams. have u any notes about stiffness method and flexible method of stucural analysis.

[@sujoy70]

+Venkat Eshwarlu Thanks! Seems like you did not subscribe to my channel or shared/liked any of my videos. Plz do so. Check more vids here- goo.gl/uiTDQS .And I don't have vids on stucural analysis.

[@SurajBonthapuri]

Thank you Mr.Sujoy..I had adoubt regarding this...Actually our faculty has taught this method in whole different way.They did by Iteration in a tabular form.So which one is more accurate according to you sir..??

[@sujoy70]

+Suraj Bonthapuri That's your choice how your represent. As long as calculation values are same, all are ok.

[@sujoy70]

+Suraj Bonthapuri Thanks! Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@mrrevanth3059]

Thanks you so much ❤️

[@amishasingh5442]

Ur all the videos are so helpful 😊Sir thier is any trick to learn the stirling bessels all these formule accurately if it is possible so plz upload a video on that after 4 days my exams will start ur that video can help me alot😆

[@hellsbell365]

How to do of second order equations

[@brightangel9273]

THANK U SIR.......

[@santhoshshetty4494]

Amezing sir

[@AbhishekSingh-rv7rt]

THANKS SUJOY BHAI I'M REALLY IMPRESS WITH U NOW U CAN SAY I'M FAN OF U ALL VIDEOS ARE VERY VERY HELPFUL FOR MY EXAM

[@sujoy70]

+Abhishek Singh It's my pleasure! You don't know how much these comments from viewers like you really motivates me! Watch my other videos here- goo.gl/ZxFOj2 and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@PriyankaChaturveditechnical]

Thank you sir

[@anshika2535]

thanks sir !!! very helpful video sir mera bsc final h iss year aap type ke video upload kiya kariye

[@educationeasy3645]

Thak u alot, your NM vidio is very helpful

[@sujoy70]

+santosh singh It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/ZxFOj2 and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@rataasda]

Thank you Sujoy

[@singhsukhpal652]

May God bless you.🙏

[@Ajay_Raj_Tomar]

Do you have videos for 991MS ??

[@Khan-g1997]

what means by order one ,two?

[@epicclips8881]

Awesome

[@kanwaljeetsingh40]

Thanks You So Much Sir:)

[@sujoy70]

Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@khateebzaid]

i took this method from this video thank you alot ...

[@sujoy70]

Zaid Al-khateeb It's my pleasure! Kindly subscribe to my KZbin channel so that when I upload a new video,you get notified. And please like & share the video,because sharing is caring!Also you can easily find out the video in your liked video option.

[@SumitDas-um3tj]

Zaid Al-khateeb

[@mdruhulamin9118]

Thnks.

[@gaao_bc]

Helped.

[@rbsupercool]

Thank you very very much bro... you saved me... :-)

[@sujoy70]

Raja Biswas Welcome Raja,once again! Do check my other numerical methods videos here- goo.gl/ZxFOj2 .I've added some new videos there. If you like any of my videos,I'd request you to please like & share it on your channels. Because sharing is caring :-)

[@shubhamjagdale2942]

Raja Biswas kyukt thi kya??

[@neezamoafrica1546]

Any Videos on second order?

[@tariqueaziz959]

Helpful.......thanks

[@sujoy70]

+Tariq Aziz It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- and give your valuable comments.Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@tariqueaziz959]

I do it

[@AlejandroRomero-xz3oc]

What a great and plane teaching! (: Can you please teach the Runge-Kutta-Fehlberg Method please? (:

[@harikrishna-he2bi]

this method are use in JNTU exams ...?

[@TechnoForbes]

Thank You

[@anishasinha2801]

Sir, can I use fx-82ES plus bk scientific calculator instead of fx 991es?

[@sujoy70]

+Anisha Sinha You can't solve full expression, but u can break and calculate.

[@epicclips8881]

Nice vedio

[@manishkumarv370]

is there a way to verify the final answer , because of more calculations there is always chance for error which means whole sum will go wrong so pls let us know if any such methods are exists

[@sujoy70]

+manish kumar No such. Bu if you want more insights, watch this vid- kzbin.info/www/bejne/aYPPfIBporN7kJI

[@pramodlimbole]

Thank you

[@techfactskannada1477]

After completion of one sheet say to take screen shot sir pls provide for 2 seconds for taking screen shot

[@darkmanor335]

how did u get the value of dy i.e, delta y as 1/6(......) may i know it sir??

[@ManjinderSinghHanjra]

may be this can help you bro. nptel.ac.in/courses/111104030/pdf_lectures/lecture9.pdf : )

[@abdullahidada8434]

You saved me during my exams

[@sujoy70]

+Abdullahi Dada It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@rituchourasia7430]

Thanks

[@Pumapunka4828]

Sir why u have done multiplication between (Xo,Yo)???

[@RamyaNarendran]

given question is f(x) = xy substituting x = x0 and y = y0 .•. (x0)x(y0)

[@radheshyambonar951]

Thank you sir ji

[@sujoy70]

Radheshyam Bonar It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@marie88766]

i have fc-82Ms and idk how to do like this on it .. but i need the proof of it

[@DhanaLakshmi-fk8tv]

plz uploaded Picard's method

[@joy-jc1cl]

we must also add Yo in every formula ❓❓

[@meenameena7360]

Thanku u sir

[@YN.PICTURES]

I have formula problem in this video formula is it right or wrong plz reply Me my exams is on 3rd April only two days left so plz reply or help me thanku

[@gavupatel6760]

thank u

[@fazlizainal6844]

Sujoy Krishna Das.. when the calculation at delta y the K1 is = 0.05 why you put 0.5 and the best answer for delta y when I calculate is 0.047098

[@sujoy70]

+Fazli Zainal There's a mistake. Will upload correct version soon. You did not subscribe to my channel or shared/liked any of my videos. Plz do so. Check more vids here- goo.gl/ZxFOj2

[@fazlizainal6844]

Sujoy you have videos for improve euler method.. I want to study improve euler method..can u teach me

[@zaidradwan4000]

Thanx

[@ayushsharma4573]

why you don't post picards method.....

[@mohammedrasheeduddin1974]

how he has taken x0( x knot ) y0( y knot )

[@furkandemir1626]

Thank you bro

[@sujoy70]

My pleasure! Please do subscribe for more videos. My viewer count is 75 Lakhs, but subscriber is only 39000 :-(

[@yue1103]

We are doing runge kutta but with two equations and we have to calculate 8 K's. :( We spent 1 hour just calculating the first y.

[@anishasinha2801]

What is the functional difference between 991es and 991ms calculator????

[@sujoy70]

www.quora.com/Which-is-the-better-calculator-the-991ES-or-the-991MS

[@myleskenny3307]

I certainly accept what what a couple of others have written - it's not as easy than some people make out to profit online and you can be likely to lose more than you make. You should be aware of this and get help from experts that have already succeeded. I searched a few sites and discovered some good advice by searching google on websites such as Trevs Exchange Tactics. Good luck and hope you profit soon!

[@sairajsinari768]

just the name bruh, lol

[@balajibk8823]

tq

[@TechnicalPhysics]

🔴🔴🔴🔴🔴🔴 Nice video

[@nicholaszammit8273]

Thanks :)

[@sujoy70]

+Nicholas Zammit Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@charlesamofordjuoh9940]

thank you

[@sujoy70]

+Charles Amofordjuoh Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@nikhilagarwal4792]

sir if value of h is not given in runga kutta method..what we suppose to take its value??

[@sujoy70]

+Saber Tooth h is gap between each term of x. You've to manually observe the gap then. For ex- y(1) = 2. Find y(1.5) and y at x = 2. Here gap is 0.5.

[@nikhilagarwal4792]

+Sujoy Krishna Das thx you sir. i really appreciate it :)

[@inspiredsunil422]

Bro please do on 991 ms

[@amolmeshram7777]

Accha hua simple calculation bata diya..😁😁😁 muze to pata hi nhi tha

[@engsam2208]

hello, you are mistake.. you multiplied the constants k1 , k2 , k3 , k4 by (h) which is wrong

[@shrutikaagarwal8220]

Any way to check the answer?

[@amansinghal15k89]

shrutika a h

[@sairajsinari768]

yea. ask your friend in front of you in the exam

[@abhishekdhiman9599]

Is this calculator allowed in exams

[@gamesshuffler-v8n]

When I first heard about this method name without knowing partial differentiations I thought what is this runge-dog method🤣🤣🤣🤣😂😂😂😂😂😂 then I know what it is 😥😥😥😥💀💀💀💀☠☠☠☠

[@deepakkingi6195]

Sir use pen and paper and to solve equation step by step..

[@alwainnissan6351]

how u find x0 and y0

[@ghipsandrew]

x0 might be the time or just a variable that generates the y0..and y0 is usually given by the problem, else you wouldn't have a starting point.

[@mayurinath2868]

write this solution using C program.

[@maazosmany1291]

There are no tricks same formula is used and it's normal usage of calculator

[@SyedSameena-kd7qq]

Hi

[@SumitDas-um3tj]

This video has no idea

[@digib6394]

i think there are more easier ways to than this

[@AbhineetKaler]

Are your videos sponsored by casio?

[@sujoy70]

+Abhineet Kaler No. Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@rajibhossain928]

Is that even a trick????

[@eddyprince4020]

This isn’t calculator tricks 😅

[@tushargupta3117]

Abe ooo calc ka mtlb trick hota hai

[@impulon334__]

Wtf

[@Faizkhan-bf5bm]

Runge kutta! Really?😂😂😂