Diff EQ Battle 4: Nonconstant Coefficients!

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A differential equation, but this time with nonconstant coefficients! Undetermined coefficients won't work on this one, so it's time for another way.

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  1. Mu Prime Math
  2. math
  3. laplace
  4. first
  5. order
  6. linear
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Комментарии
Автор

15:10 is the best thing ever. For some reason I just love how you turn back and forth between the two sides of your board. It's artistic.

nuklearboysymbiote
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You make everything clear. Thank you dear prof.

spdas
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I love solving ODEs by power series, and tbh thats what I would've tried first on the right hand equation.

I would love it if you do a couple of videos on solving via power series, frobenius method and so on.

Great video, anyway. Love your channel

aliexpress.official
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Took diff eq 5 years ago. Now its coming back in grad school hidden casually within a bigger problem

macornman
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How to solve the following differential equation?
x^2*y''(x) - x*y'(x) - 3*y(x)=0

Using the Laplace Transform I end up with : -s^2*Y''(s) - 5s*Y'(s) - 5s*Y(s) = 0 which is of the exact same difficulty and can't be solved. What am I supposed to do to solve this monstrosity?

wf.i.
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Thanku so much for this amazing video.
Can u tell me, how to find L(ty)?

unnatishukla
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Laplace is the place to be. Transforms 💘

goobah
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@4:40, did you walk around the camera to segway into the next solution XD?

OkuhleNtshweni
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So if i have ODE with n-order, when i use this laplace transform, would it becomes (n-1)-order? I mean, does the laplace transform reduce n order ODE to (n-1) order ODE?

shandyverdyo