Initial Value Problem

[@TheOrganicChemistryTutor]

Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Next Video: kzbin.info/www/bejne/oZjKZoWppctkgNU

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waiting 🙏🥺

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This is on the exam I'm taking in an hour. Thanks for the birthday gift!

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Jasmine Happy birthday in 3 days time buddy! ;)

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Happy birthday ( I know I’m late )

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(Thanks guys) (Can't remember if it was the same situation this year)

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A very late happy birthday!

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this man helping me catch up on hours of calc lectures that I slept through. Real MVP

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Your videos are very helpful, but we also need difficult questions please 🙏🏽

[@melinagarcia896]

this 5 minutes really helped me more than hours in class. Thank You

[@hasanmohammadsiam4342]

Plz explain me how can I find the value of x??

[@nhenkmah]

@@hasanmohammadsiam4342 x is given together with y or whatever variable is being discussed.

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the GOAT ONCE AGAIN guiding me through life

[@ronjones1257]

How can someone not like this video, he explained this perfectly and was really easy to follow

[@1mol831]

well, school isn't allowing this method.

[@pankake8326]

I have never seen this JG guy reply to any comments on all of the videos I have seen from him. But, if by any chance he does see this comment, I would like him to know that I am grateful for his content. Thank you!

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Exams tomorrow, this is the night before and as usual you always come in clutch

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You saved my life and calculus final

[@timothygooding9544]

in the second question 4:56 how is C not ln(3)? I thought e^x^2 x e^c meant you had to make C ln(3) to make e^ln(3) = 3. That 3 is y(0) but its ln(3) that C replaced. The completed equation is y=3e^x^2 but C seems like it should be C = ln(3)

[@AB-xz9eo]

Me too

[@talhabakr2565]

I agreed you

[@lucastadesse2678]

Both are solutions I guess?

[@maxxiang8746]

this is late but for y = (e^c)(3^(xx)), C would be ln(3), but this can be re written like y = A*e^(xx), where A is a different constant, which is equal to e^ln(3), which is equal to 3. in the video he named (A in this case), C as well, but as he said they are different constants

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Wish i had teachers like you

[@PaxiKaksi]

Why you did not introduce a constant C on the left hand side as well with dy at 3:20?

[@Youngballer739]

I was thinking the same

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[@lfcil]

Dude this made me passed my exams thank you so much

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[@genztechman]

best video on initial value problem

[@adrianrodelas7342]

Amazing videos, is there any way you can create a playlist for differential equations in your channel please!

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How can I donate? You have helped me a lot.

[@hmassociates2947]

Organic Maths tutor should have been the name

[@shcottam]

This channel got me through derivitives and intigrals. Based on my level of confusion in my engr class rn, he better have some knowlege bombs in this one. Seriously though i appreciate your videos so much

[@jsr79080]

Hey guys, I’m really sorry but there is some inaccurate info in this video. He says “multiply by dx”. dy/dx isn’t a fraction. You can’t multiply by dx because dx doesn’t represent a real number (& this is not subject to operations of real numbers). To go from dy/dx=f’(x) you rewrite the statement using the definition of the differential, dy. That definition is dy=f’(x)dx. It is unfortunate notation from Leibniz that causes this BUT anyone in math/stats should really understand that dy/dx isn’t a fraction. Engineers disregard this a lot and it’s not good practice. Source: I’m a math professor at a university. BTW love these videos and I recommend them to my students. This is the first video from this account that I’ve seen that has an inaccuracy. Do note that solving the problem is correct, of course. Also, it is hard to teach someone that dy/dx isn’t a fraction so I understand why the applied maths can sometimes treat dy/dx as a fraction.

[@abeecee]

I don't mean to question your qualifications, but the form of a separable DE is dy/dx = g(x) h(y). To isolate for g(x) on the right side, divide both sides by h(y). 1/h(y) * dy/dx = g(x). Integrate both sides: ∫ (1/h(y) dy/dx) dx = ∫ g(x) dx. Change of variables technique yields us ∫(1/h(y)) dy = ∫ g(x) dx, which is the same thing as OCT's solution technique Meta information to note about OCT is that he is not a math teacher. He teaches crash course, applicable solving techniques. "Inaccuracy" is not really the case, more so a "willful oversight". If someone wants to know good practice and solid math, they should be watching blackpenredpen or reading their textbook or going to their lectures. This is a good thing to note, but we're at the same place either way

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keep doing the great work. your video saves lives

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you are very helpful pls make video with more difficult problems . thanks

[@joeyGalileoHotto]

Are you going to make videos on power series and laplace transform?

[@hamzahwaheed9528]

In the uk, e^c is written as A.

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Can't thank you enough. Your videos are just great and very helpful.

[@fgjhnm]

Sr can we find initial conditions for a differential equation if these are not given?

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Love your videos and your voice. You are amazing teacher

[@f-oa-bl-m-mu9404]

Thank you, it was very easy to understand.

[@Graceluvbug37]

Thank you so much! My calculus professor teaches very fast, so it is hard to keep up.

[@theforestgardener4011]

It would have been helpful to introduce the concept of Initial Value Problem in this video

[@devduttsharma4208]

Thank you soo much. I was dying 🥺🥺🥺🥺

[@katlegoleduo6193]

may i ask why we couldnt just substitute at lny? why did we have to simply?

[@malikwoullardmusic]

Question: I could be wrong, but isn't the antiderivative of 1/y = ln|y| and not just ln(y)? Doesn't that matter depending on what the initial value is?

[@timzelikovsky490]

ln can never be negative (or 0), so writing ln|y| is redundant

[@proloductions6412]

why cant y be negative @@timzelikovsky490

[@MiguelGarcia-zp8hh]

why did the antiderivative of (dy) turn into (y) on the first problem and on the second problem it just disappeared?

[@Al_Ares]

∫ dy is also written as ∫ (1) dy. Here, the antiderivative of 1 is y. While the ∫ 1/y dy is natural log of y written as ln y.

[@MiguelGarcia-zp8hh]

@@Al_Ares ok I kind of see now thanks

[@gatusjofferson7454]

hey would you teach us some initial value about laplace transform? thank youu

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Please can u make a playlist on ODE❤

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[@OladejoTrisha]

But is this not the same as using the complex conjugate formula?

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Wish prof are as straightforward like you man life would be a whole lot easier

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i’m gonna kiss this dude on the lips

[@MohamedJama-zt7tk]

I struggled a lot with this one, amazing that you learned with this one in 5 min, thank you very much sir:)

[@thefallenzodiac237]

Thanks for helping me with this now i can do my homework

[@SADDAMHUSSAIN-mw3cv]

Thanks alot respected sir...

[@sohaalavi8743]

How lny= e power something is equals to e^ something ?

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a short and outstanding video/lecture on the Initial Value Problem in Calculus/ Differential Equations. Professor Organic Chemistry Tutor, at the 3:29 minute mark in the video, you have the integral of dy /y equal to the integral of 2 x dx which is correct when you separated the variables and integrate both sides. When both sides are integrated, the correct solution is the ln of the absolute value of y equal to x squared plus a constant. The absolute is missing after the ln in your solution. Please correct this small error in the video.

[@JoliNoelleDavid]

thank you so much! super helpful

[@lathat7124]

Bruh if I clear this exam , you'll be the first one I remember

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Thank you! Helped me a lot!

[@shahashrafulalam7956]

Please solve hard question 😐

[@erikpaulestrada1641]

may i ask how to solve this using initial value problem dy/dx = 4 sin 2x y = 2 when x = π/2

[@amrutalondhe1243]

Thank you Sir😊

[@hasanmohammadsiam4342]

How can u find the value of x?? plz explain

[@isaacowusu1142]

You are the best!❤❤

[@shatrack]

first problem, i was like wow this is so easy, 2nd problem through me for a loop with that Ln

[@freekdomburg6081]

great explanation

[@camiloescobar9017]

Hi! What do you use to create this video? Thanks!

[@Hackslooi0128]

hi, is there link to Laplace Transform?

[@AdhambekAbdumannonov-mi8bm]

Please, please. Make video on Laplace Transform :)

[@mohammedghunaim9897]

i ididnt understand when he used e exponent?

[@moses9117]

how did you know that x=0 and y=0? 0:32

[@olugbesandaniel6319]

He said that x = 0 and y = 4

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Nice Video!

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I have 4 hours until my engineering mathematics final exam... wish me luck

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thank you my guy

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Thank you!!

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Awesome video. I love ya, man. But that went wicked fast

[@YameenIqbal-lw9vj]

Sir!ordinary differential equation exercise 4.1 question no 9 please solve the question

[@pbeee2417]

Thank you sir

[@dannymaefengea2697]

Hi there, can you solve the following problem? dy/dx-y^2tanx=0, y(π/3)=2

[@imaan6907]

no

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I was almost to drop out xul.

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Watching this in 2x speed has me laughing off my seat

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Differentiation is so interesting. I just love it!

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This helped me a lot, very thanks Organic Chemistry!

[@engzahraam.a49]

شكرا جزيلا

[@1mol831]

The professor isn't teaching this method and its not allowed for some reason ;-; It is said to be 'not rigorous'

[@fikadubekele4450]

if you prepare laplas transform thank you

[@anonymous-ju6rv]

ذيبان وكفو ولحيتن غانمة

[@EvansKitty-j4x]

085 Lueilwitz Mill

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First question ✋😁(breeze) Second problem 🙂😐☠️☠️🏴‍☠️

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good one

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really helpful

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Thanks 😢

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Brown Drive

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How is this related to Organic Chemistry though?

[@ChancyNeatwell]

GOAT

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god bless you man 💜

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give me a video of (dy/dx)= 2x-y ; y(0)=1

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dope video

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3:58 volume warning. lmao

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Hi!!!

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I owe you a liver

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: D could somebody reply to this once it’s a year old? Thx

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Hasn't exactly been a year but

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Sure

[@demetriusdemarcusbartholom8063]

Math 201 University of Alberta

[@martijnknol8690]

ayyyy u here too? same class

[@demetriusdemarcusbartholom8063]

Yeah haha but why you watching this now? Course is over.

[@martijnknol8690]

@@demetriusdemarcusbartholom8063 i always see some shit recommended 3 months after, sometimes im curious then, keeps up your knowledge xD

[@demetriusdemarcusbartholom8063]

That's cool, how did you do in the course?

[@martijnknol8690]

@@demetriusdemarcusbartholom8063 got a sufficient mark im happy with, had to work hard in during the course so it felt good. How about you?