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:

Basic Integration Problems:

Indefinite Integral:

Definite Integral:

Differential Equations:

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Properties of Definite Integrals:

Rectilinear Motion Problems:

Sigma Notation - Calculus:

Riemann Sums - Area:

The Midpoint Rule:

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Finding Area - Limit Definition:

Definite Integrals - Geometry:

Fundamental Theorem - Part 1:

Fundamental Theorem - Part 2:

Net Change Theorem:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[shoraaa]

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

[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

[abihashabbir]

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

[rosette_renah]

Why are you sooo good at explaining😠😠😈

[dominiccenteno]

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

[waadelzuway]

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

[ammarparmr]

ThankU
Please keep going uploading videos about DE

[hammersarchive]

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

[plasm]

please do exact differential equations

[georgesadler]

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.

[winim]

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

[incognito]

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

[hermyliepolanco]

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?

[ManozerMensah-wxfn]

Please we need videos PDEs full courses

[fgjhnm]

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

[marywillie]

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

[drakeyu]

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

[amycoronado]

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 😂

[lancebaclayo]

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

[amruthadhanabalan]

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