System of odes with complex eigenvalues | Lecture 41 | Differential Equations for Engineers

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Solution of a system of linear first-order differential equations with complex-conjugate eigenvalues.

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Love your content! I've been watching many videos on differential equations as I'm cramming for a final and all of yours has easily been the most helpful

nickp
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Thank you so much for your videos, all of them were really helpful! Now I regret not having chosen Hong Kong for my engineering courses.

Brunovdvoorde
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thank you prof. you precise explanation of concepts without reservations.

josephmarybwambale
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Thank you so much. Until now it was too confusing for me..U made it clear..

aneeshkthampi
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hello, Thank you so much for your video. It helps me a lot. It is really helpful.

mishudhar
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Thank you very much for all your amazing videos. You explain concepts clearly in ~10 minutes that would take up the entire lecture period in class.

sofiyavyshnya
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THANK YOU SO MUCH! Your's are the only videos I've found which explain this and work through an example in a way I can understand!

garrettweil
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Thanks so much sir! Very clear and straightforward!

AJ-etvf
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can you please clarify the last part....for the solution of x2 wont we solve the equation again but with the conjugate of the complex eigen value we obtained?

asim_m
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im confused on how you went from det(a-L I) to (L+1/2)^2 +1 (L: lambda). wouldnt it be ((-1/2)-L)^2? if you use -A, then you get this but you also get -1? I'm confused about this step.

adenslade
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Can someone explain to me how he dragged out the e^(-t/2) for both the real and imaginary part???

libelldrian
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Hello Chasnov, i had a question. What would be the outcome whem we will calcute for the nagative value of of Lambda such as -1/2-i?

mishudhar
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should we find c1 and c2 is it possible

clivedoyisi
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Plz upload for equal eigen values also🙏🙏

harshi
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ermantraut without the stache. thats goals

ashwinsivaainkaran