Solving second order differential equation using operator D

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This is an amazingly lively yet carefully paced lecture.

tmm
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1 whole unit in 17 minutes. Thank you.👍

RSS
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Is there a video using linear differential operator for non-homogeneous second order equations?

joshuammaina
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Although this method can indeed be considered unpleasant and more complicated than just guessing the solution, the method is very nice, because it proves that the guess is valid, and it does so by using ideas from linear algebra that apply in more general, arbitrary settings, than just differential equations, and in consequence, these ideas are also generalizable to differential linear equations of any order in general. This method also actually makes solving easier when the equation is not homogeneous, to be specific.

angelmendez-rivera
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my lecturer in love with d operator for non homogenous second order

anakinkylo.thepomenerianan
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Amazing! Proof made easy!! Thank you Prof for sharing this!!

RealAjGhimire
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This is a video of curious people (all over 18) discovering the amazing properties of the D.

HCOSzifon
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Wow, this is gold. Thank you so much professor ❤.

desibiden
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Thank you very much professor An. That was excellent explanation.

peijiaguo
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Thanks for your video. But, if you are introducing D, then you can solve as an eigenvalue problem in 11:16 instead of using an integrating factor. It's more easy, ay least for me.

rajinfootonchuriquen
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for such an equation the auxilliary quadratic equation is much easier to use

cskajama
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I got my doubt cleared..thnx very much

satvinderpalsingh
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Why is it the derivative at 11:11: dz/dxand not dz/dy? and how do you further come to the e^-4x...

UCh-cvls
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Now suppose you have a RHS which is a given function. Can you use this method?

mathunt