Differential Equations: Lecture 4.4 Undetermined Coefficients - Superposition Approach(version 2)

[@muhammadsulaimanjaved9663]

Dear Sir, I have been watching your DE playlist and lectures for the past 3 days straight........and it really got me prepared for my semester Final exams...........Really love your enthusiasm💖💖Wished I had a Calculus teacher like you.........I hope that you will expand this work online too......really want your videos on other chapters and exercise too.....May God bless you. Love from Pakistan>_

[@TheMathSorcerer]

Thank you!!!

[@abouland9404]

If anyone else was confused about why the particular solution has an x^2, it is because we are dealing with repeated roots. Just like how when we have a characteristic equation with repeated roots we multiply by an x for each repeated root, in the characteristic solution we have two solutions, e^(x/2) and x*e^(x/2), so our particular solution will have to be x^2 * e^(x/2). To check, if we had chosen Ae^(x/2) as our particular solution, and plugged it into the DE, we would get 0 for the left hand side, and that makes sense since it is part of the homogenous solution.

[@johnkupa8885]

The Math Sorcere and Professor Leonard are legends. Much Respect.

[@mooblerthomson9851]

I wish all my teachers had the same excitement and enthusiasm as you.

[@TheMathSorcerer]

👍

[@blackbatman1111]

I do not understand the final example of this lecture. Why is yp = A + B(x^2)(e^.5x)? Where did the x^2 come from?

[@brethagen7776]

Seems like your book is fairly similar. Just finished my exam on 3.2,4.1,4.2,4.3,4.4. Hope you have my next stuff!

[@TheMathSorcerer]

nice!

[@nagapavannutalapati1411]

Really I can understand for your explain. My preparation is very easy after your class ....👍👌

[@TheMathSorcerer]

👍

[@EdisonvsTesla]

i have no words, i just say u save me❤🎉

[@evanbarrett5703]

this dude rocks

[@rowinpadayhag5226]

thank you so much sir i got my homework because of this video.

[@TheMathSorcerer]

Oh wow awesome!!

[@GEMOFPHYSICS]

Thank you...could get my head around UDC until I saw this!

[@qmekanix]

Are you using the Differential Equations book by Zill?

[@franceballon5921]

Thank you very much sir!!

[@joshuabrack2392]

WHat happens if when you are solving for yp, you dont get the correct form = RHS of original equation. Does that mean your modded yp was wrong?

[@gayankarandagolla9796]

Thank you 💛

[@TheMathSorcerer]

You are welcome!

[@easymath591]

Thanks boss!

[@TheMathSorcerer]

You bet!

[@mattsmith2222]

Man... I wish I was paying $20k for this guy instead of my profs

[@TheMathSorcerer]

Thx man 😀

[@mmmedosfathi3544]

thank you

[@TheMathSorcerer]

You're welcome

[@africansunkissedwithtsholo6374]

i literally did a victory dance at the end. OH YEAH!

[@jimcanuso4169]

ah, the cool math teacher

[@eyadbe2024]

if possible is there any chance we get a PDF link of your notes

[@TheMathSorcerer]

I don't have them in PDF form sorry!!

[@hassanaftab8459]

What is the difference between version 1,2 Both are same?

[@TheMathSorcerer]

maybe they are, I am not sure:) It was just a different lecture.

[@hassanaftab8459]

Sir you are doing a fantastic job!!! Can u plz tell where I can get the lecture of Cauchy euler method..searched in your playlist but didn't found..

[@TheMathSorcerer]

@@hassanaftab8459 That lecture was never recorded, but, I have a full playlist for that here kzbin.info/aero/PLO1y6V1SXjjM0prvj_roxY-pHfy_GnL5d

[@hassanaftab8459]

Absolutely fantastic! Thanks

[@chileshesikazwe8500]

Please you shout also share your notes otherwise you are indeed a Math sorcerer

[@Thunder_Codes]

Anyone know where to get practice problems?

[@Crystal-gp4pv]

Do you want just for this section or others as well?

[@Thunder_Codes]

@@Crystal-gp4pvIdeally the whole class

[@EdisonvsTesla]

​​@@Thunder_Codesbruh have u get practice problem??

[@MuhammadIsmail-un3qd]

23:33

[@Woodman34x]

haha Then you thought it was Ryan the guy who walk into class.4:24. "It doesn't matter". Then you guess his name, then he said it starts with "A". your response "Reallllllly?"

[@carultch]

What is The Math Sorcerer's real name?

[@CommieD]

The Yp still gmfu

[@1ukeee]

8:50 lmao