Cauchy-Euler Differential Equations (2nd Order Homogeneous)

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This differential equations video explains second order Cauchy Euler differential equations and focuses on the solutions for homogeneous Euler equations. We discuss distinct real roots, real repeated roots, and complex roots for the equation for m, and give you the forms for the solutions for each. We solve a couple of examples of each type as well.
0:00 Introduction to Euler equations
3:47 Solutions with distinct real m values
7:16 Solutions with real repeated m values
12:04 Solutions with complex conjugate m values
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Just wow. I don't even to go lectures because my professor cannot teach and I cannot understand his accent. I find every topic for my differential equation class on this channel. May god bless you and your family. Thank you sir!

sahilpatel
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By far the best video I've seen that explains Cauchy-Euler Differential Equations. Thank you!

pointless
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You're an incredibly effective and efficient lecturer. Thank you very much!!

gerardoperez
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Best channel for differential equation!!

hassanali-yibu
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Hey houston, I am back again. Your constant student and subscriber. You are an amazing teacher and my all time DEs saviour. Thanks a lot. :)

ashishkumarsharma
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Very clear and concise with helpful examples, definitely would recommend as supplementary self-study.

yanweing
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This is wonderful! 😊 You videos help me fill in the gaps in my math background! Much appreciated! ❤

curtpiazza
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Thank you so much for the efficient explanation...my university professor took a whole 55 minute lecture just to teach Cauchy-Euler Differential Equations.

PS your handwriting is so pleasing to look at

ItsAlexShort
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Just in time for my course! Thank you again! Will you be releasing a linear algebra course?

hellothere
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Thank you much for this! I really needed this level of intuitiom=n :)

legendarynoob
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thank you i realy understand cauchy euler bc of this vid!

dindawanda