Finding Particular Solutions of Differential Equations Given Initial Conditions

This calculus video tutorial explains how to find the particular solution of a differential equation given the initial conditions. It explains how to find the function given the first derivative with one initial condition and how to find the function given the second derivative with two initial conditions using indefinite integration. You need to know how to find the antiderivative and indefinite integral of a function to get through this video. This tutorial contains plenty of examples and practice problems on finding particular solutions of differential equations.
Antiderivatives:
• Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
________________________________
Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/apypcmR4ateknM0 Final Exams and Video Playlists: www.video-tutor.net/

[@adnanchallawala5635]

This man is the 🐐

[@BbananaBbread]

It’s crazy how i can google the first 5 words of any math problem and there’s always a video matching word for word what i said

[@shoraaa]

Bro I'm impressed with your teaching potential. In first example i learned more than in whole semester. Cheers!

[@swaminator3617]

that's some horrible teaching you had going on lmao

[@Mon-ok8jw]

Extremely helpful, thank you

[@abihashabbir883]

Super helpful, had to study this for my exam and my professor is shit. thank you so much

[@Dylan_J_Johnson]

professors aren't teachers. Ask them questions, they profess, not teach.

[@waadelzuway5809]

بارك الله فيك thank you so much 🙆🏻‍♀️💘💘💘💘

[@IvanMTG1]

super helpful thank you!

[@dominiccenteno1233]

You made this topic seems so easy. I understand this in class but I'm really confused. Your method is easy and organized.

[@rosette_renah]

Why are you sooo good at explaining😠😠😈

[@coehnassayco7993]

Savior of all failing engineera

[@winim01]

Bruhh why can't my lecturer teach me this way smh.. Her lectures notes are too complicated too understand.. This helps me more

[@ammarparmr]

ThankU Please keep going uploading videos about DE

[@plasm90]

please do exact differential equations

[@beergnieer1794]

Thank you😀

[@feilongish]

Great stuff

[@user-od3mq7yd2x]

THANK YOU

[@hammersarchive904]

Cool. Can you make videos on how to get the differential equation from general solution?

[@m.furkandogan23]

no

[@EricAndStuff]

@@m.furkandogan23 hahaha

[@zaryabkhan9416]

Sum of the cube root of unity is=

[@incognito6751]

Bruh it clicked for me after 30 seconds of watching the video 😂

[@fgjhnm]

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

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on Finding Particular Solutions of Differential Equations Given Initial Conditions in Calculus. Professor Organic Chemistry Tutor, at the 10:55 minute mark, when you integrate 1/3 x cubed -4x + 25/3 , there is a dx missing at the end of this expression. Please correct this small error in the video.

[@albushuskey9554]

🤘thanks

[@hermyliepolanco5277]

Do we always have to find the anti derivative? Because I have a question of y=f(x) and to find the particular solution with the given differential equation with the initial condition of f(1)=3. I dont know if this is an easy question and im over analyzing it, maybe I’m just not Calc smart, I’m really lost. This video I truly get it but what stumps me is I don’t need to take the anti derivative or do I?

[@nightnightyasmin]

No. You're finding the integral or derivative base on the function given. You want to get it to f(x) or y form. Yours is already there.

[@rezapishkar3181]

😊

[@nishinoyayu494]

Is it possible to have C= infinity?

[@rosette_renah]

BTW???

[@DiegoGonzalez-qn7qd]

I would say no since infinity is more of an idea than an actual number, but C can be any number from (-infinity, infinity).

[@drakeyu6673]

why 12? why not multiply by 3? it's an easier number?

[@MIDNIMOJANAQOOW]

Here It is a fraction equaton. The easiest way to solve is to get rid of the denominator so that you get a normal equattion, I mean not a fraction equation. That is why he chooses to multiply "12".

[@amycoronado4920]

I took diff eq like 12 years ago and failed. But THIS, this right here, makes diff eq not seem hard. I must have been a dumbass back then. I'm back at school and have to take it in the spring, which means I get to re-teach myself calculus 😂

[@andreamanrique3059]

you sound like daveed diggs

[@marywillie778]

Can you please make a Video on how you talk and how you project your voice? 🥺

[@tomieemile]

Those are not differential equations.

[@amruthadhanabalan1328]

You seem to have suddenly dived into doing videos related to the syllabus of eastern countries.

[@mohamedridamahir1960]

@@abab-ge2tu it's pretty much the same thing since i tried both

[@lancebaclayo5903]

why is -48+77=-125? I'm genuinely confused :

[@gamingisme2903]

-48 +77 is the same as 77-48. if you add a negative to a postive then they counteract. therefore -48 + 77 is 29 because you are taking a negative and adding it with a positive.

[@theladyreaperr]

It’s not -48+77 it’s -48-77. Because he’s moving the +77 to the side with -48 to get 12D alone, So he has to subtract it not add it making -48 - (+77)= -125

[@tipsyfavor]

i love you

[@kondwaninyalugwe9118]

Zilibo

[@user-mc8cj3ls6m]

so simple but im too stupid for engineering sigh

[@jamka5]

I'm so smart xd

[@zaryabkhan9416]

G (x)=then g (5)= plz solve

[@fiendsgaming7589]

My teacher is teaching me to do derivative where you're doing integral instead, maybe you're mistaking

[@zh6256]

It's the same tho, for example f(x) = x^3 + x and f'(1) = 4 are given, u just need to derive the f(x) and after that sub 1 into the derived function

[@DepthUnchecked]

Will you marry me?