Auxiliary Equation, Repeated Roots - Differential Equations

[@abatandchill]

Correction, Answer in number 3 must be: y = C1e^x + (C2 + C3x + C4x^2)e^2x. Since the root m2 = m3 = m4 = 2 and repeating. Thanks

[@subamarkchristians.6774]

Thank you so much sir, sa effort nyo po na magturo. Napakalaking tulong po sa amin ito upang madali nming maunawaan mga lessons lalo nanpo ngayong pandemic. Ayon po, naway ibless pa po kayo ni Lord, pati ang family nyo po. maraming salamat po ulit engr. abat😇

[@Starriray]

Thank you po, na 1 take ko po yung differential equation 😭❤️

[@abatandchill]

Congratulations

[@Clintlegend]

Thank u so much!!and a grt quote from the bible too!

[@ceedss2584]

Thank you so much Engr. Abat!

[@meliodas-sama8744]

Sa 11:14 po pwede rin po gamitin yun 2 as divisor sa synthetic divison. Pano po gagawin since pwede yun +1 and +2?

[@Dee-nm7kt]

Thank you po♡

[@geromegacrama284]

Thank You sir 🙏🙏😊

[@jeffreysoriano6360]

What if a polynomial is not factorable. What should I do?

[@kentzyQt91]

Iknow late na pero pag may same na mag tatanong nito try nyo e quadratic formula yung - b +- square root of 4ac

[@liemueldeynnburgos1340]

Good day Sir. Yung sagot po ata sa pinasagot mo po sa amin is C3xe^3x + (C1 + C2 + C4x^2)e^-2x. Yung m1 ko po is -2 po.

[@darylldumo75]

May complex roots lesson po ba kayo?

[@rabbanjuarez3807]

Eng. Abat Bakit wala kang Case 4 Video Sana Mag upload ka ng Case 4 .

[@ronamaerecalde]

Pano po if Yung case is "The Equation has conjugate complex roots: 𝒎 = 𝒂 ± 𝒃𝒊" and ang general solution niya po is "𝑦 = 𝑒^𝑎𝑥(𝐶1𝑐𝑜𝑠𝑏𝑥 + 𝐶2𝑠𝑖𝑛𝑏𝑥) " cosine po ba lagi dapat ang nauunang isulat instead of sine? Or pwedeng mauna yung sine instead of cosine?

[@abatandchill]

Usually nauuna talaga ung cosine becuase of euler function. But ok lang kahit mauna ung sine since addition naman siya

[@ronamaerecalde]

Thank you po. 😊

[@HavilaCaeta]

Hello po sir. Mayroon din po ba kayong video for distinct and repeated quadratic factors po?

[@_bieelove]

Dynamics of Rigid Bodies po engr. Thank you po

[@abatandchill]

I will try my best. You're welcome!

[@rin7573]

Thank you

[@abatandchill]

You're welcome!

[@user-bd6yh1pg9j]

Thank you so much, Sir! Very helpful esp during this online learning. Engr. can you make videos about Auxilary equation: Distinct and Repeated Imaginary Roots?

[@abatandchill]

Soon

[@user-bd6yh1pg9j]

@@abatandchill Thank you, Sir! I'm such a huge fan of yours. I love your teaching style. Natututo po talaga ako. Kudos, Engr!!

[@A1exAtYourService]

Sir, bat di na available yung distinct video?

[@abatandchill]

Hi! ok naman. Nagp-play naman

[@megarbiojosephine1030]

Boss upload po kayo ng Non homogeneous higher order differential equations sir, yung mayredundancy . Sana po mabasa niyo. Maraming salamat po. Laking tulong po mga video niyo sakin. Godbless po.

[@abatandchill]

I will try. Thanks!

[@timbalzodelfrancis8473]

Sir upload po kayo ng video about auxiliary equation: imaginary roots. Thank you po ❤️

[@abatandchill]

Sige

[@benedictmaddara9248]

Sir 'yung last problem po? hindi ba dapat: C1e^3x+C2e^-x +C3e^-x +(c4+c5x)e^-1/2x dapat? distinct po kasi yung m3 kaya hindi po dapat C3xe^-x?

[@abatandchill]

They are the same roots: -1 so they are repeating :)

[@benedictmaddara9248]

Eh sir, how about the third question na may repeated root na 2? Bakit po C2e^2x +C3e^2x+C3xe^2x, instead of C2e^2x +C3xe^2x+C3x²e^2x

[@abatandchill]

Yes, ung sa number 3, dapat ang sagot C2e^2x +C3xe^2x+C3x²e^2x. I-pin ko nalang sa comments. Thanks!

[@francine8563]

Thank you po Sor, marami po akong natutunan. Pwede po mag ask sir? What if pinapahanap value ni C?

[@tian54]

Upload po kau ng Repeated and Complex Roots at Complex Roots at Real and Equal roots

[@abatandchill]

Soon

[@vinzemontydelacruz7099]

Strength of materials next vid engr. thankyou and godbless!

[@abatandchill]

I will try my best, thank you and God bless you too!

[@rogreasonda2692]

Sir upload po kayo ng video about auxiliary equation: imaginary roots. tapos repeated roots an may conditions po sana thank you po.

[@abatandchill]

Ok

[@AuwalSulaiman-b9d]

I want answer of us questions y-21y+9y=0

[@AuwalSulaiman-b9d]

Pls

[@mariadappy7716]