Cauchy-Euler Differential Equations (2nd Order)

[@jacobalaichi123]

You're a gifted teacher. This is the first video I've watched. I'm halfway through it and everything seems clearer. Thanks! - Jacob

[@B.A.Gondal]

Great Videos and I am using these to study for my final exam. Just a side note on this video, at 10:10 you wrote e^(x) which is suppose to be e^(alpha*x). Thanks for making these videos, they are wonderfully serving their purpose.

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Don't you love when a text book spend 5 pages doing derivations and a ton of bullshit that truly was useless. You saved me many hours of headaches, and also got me a free 30 points on this exam today. Yall are for reallll

[@Arthur-Joe]

Very useful - thank you. I am a 'distance learner' and what could take me days to understand from a book, you've explained in minutes.

[@sgoodkind221]

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miracle video, well explained and clearly outlined. Thank you

[@RobSummers993]

WOW....I don't know how you took a subject like this and made it understandable but THANK YOU! Great explanation.

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[@dyota2277]

2hrs before the exam, and I understood something I wasn’t able to all semester long

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[@MasterofLaziness]

Thank you. I needed this for an engineering class and my diff eq class did not cover it for whatever reason.

[@shawnarmstrong3339]

It's soooooo much more helpful to hear the derivation of the abstraction. I've been staring at notes like wtf ax^2[m(m-1)x^(m-2)]

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[@alsolh]

Thank you so much, simple and clear explanation

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[@partikkumar7834]

Great video.. cleared my doubts..

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[@jacobbardwell9195]

Thank you for the highly comprehensive video! My professor taught us that there should be no constant coefficient in front of the (x^2)y'' term. In other words where you have A(x^2)y'' + Bxy' + Cy, I would have: (x^2)y'' + Axy' + By (I divide by the constant in front of the first term to change all coefficients.) from there I would use my new constants A & B to solve. Are both methods plausible?

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Thank you very much :D... the video was very clear and helpfull

[@mangopilot6719]

I really appreciate your videos for me to learn. However, I do need more help with solving the problems of Non-Homogeneous ones. Please record some examples. Thanks for your dedication.

[@qazisanaullah9587]

Nice and simple... Thanks a lot.....!

[@WhiteHairedFreak]

Excellent video, although I'm curious, why do we multiply ln(x) instead of just x to a repeated root? Why wouldn't x suffice?

[@mohamadsrouji159]

Thanks bro this is pretty helpful all i wanted to understand is the idea of when do we change from e^x to ln(x) and you solved my problem now I can continue solving more examples but i have one question do you have an explanation for the D-Operator Differential equations thank you

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[@TheAmish111]

Wouldn't you use product rule for y''(double prime)?

[@TheAmish111]

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