Complex conjugate roots of second-order homogeneous differential equations (KristaKingMath)

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Learn how to find the general solution of a second-order homogeneous differential equation when the equation gives complex conjugate roots.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

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I'm using this to review for Partial Differential Equations. You were ahead of your time in creating these elegant and extremely detailed videos. Thank you so much!

souravchakraborty
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Thanks for putting the note in there at 6:30 about the other two cases. I was having trouble wrapping my head around all of them. That summed it up real quick.

milkcreightronny
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This has been so helpful you have no idea how simple you have made it compared to others! thanks!

stevenrobertson
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I recently found that free Youtube videos is way much helpful than $4, 000 college lectures.  Every time I am so confused sitting in the classroom, I will talk to myself:"don't worry, Youtube will help you resolve all your problems.  Thank you Krista.  It is people like you help me survive college. 

alexseattle
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Bless You literally just saved me from failing T.T If only you were my teacher irl I'd actually learn this material without having to scour youtube for help ilysm!!!

gdragon
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Thank you for the helping. great explanation, this will help me for my upcoming test

karabotshehla
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NO such things as complex conjugate roots with Krista. xD 

MinesFavorites
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Im so buying a subscription this is hella helpful

I am dying to know which program/ devise you use to make these lessons and notes - is it a waccom something?

Iwishilivedinnarnia
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Hey Krista, can I ask what program you used to record this? I really like that blackboard theme!

thpbuddy
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Can you make video on combinations of complex and real roots

yatharthbhardwaj
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If my teacher was just as cute, I wouldn't have skipped all my math classes and spent 6 years to become an engineer lol . Tnx for the video .

alanisami
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Thanks again, do you have any material on step unit functions and delta functions for second-order homogeneous differential equations

Fadenic
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is beta always the one with +/- or is beta always the one with i? for example if you have a root that is i +/- 3 is beta= 3 and alpha= i ?

truthaboutforever
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Should e alpha x be negative? Right after y=

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