Power Series Solution when initial condition is given

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Daniel An

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This was actually like a breakthrough for me, I didn't understand why y(0) was equal to a0 and y'(0) was equal to a1 but writing it out like that made complete sense! Thank you!

Nocebonobo

thank you so much!!! I've been looking for a video to explain this for about an hour and this was the only helpful one!!!

joenagy

Thank you so much for this clear and precise explanation of solving the IVP. I scrambled so much for the clear explanation until I came to your video. I was able to solve the problem that seemed unsolvable from me. Hats up. Thank you so much.

mohanbhandari

You are brilliant, this made so much more sense.

AlaricTheophilus

I never actually understand how y(0)=a0 and y'(0)=a1 untill I saw it written like this. Thanks!

samrakhalid

I might be late, but this video is so helpful and the explanation is clear!! thank you so much Sir!

anisnurainabintikama

Thank you so much for this very clear and understanding explanation!

ciannabalderama

thank you for this amazing video
my english is not good but I want to tell you I don't understand from where we get (2a2+a0)?
please tell me if you can

wafaschool

Sir when we have to put these condition in the answer?

akshaytiwari

what do you mean by "term shifting"?

AlexRodriguez-sobs

Thank you sir for explaining the concept clearly.

souravbiswas

Show that set of function
1
x,
x
      forms a basis of the differential equation x
2
y + xy – y = 0.
Obtain a particular solution when y (1) = 1, y (1) = 2.
Please solve it..🙏

asmakiran

Sholdn't a 2nd order equation have 2 linearly independent solutions?

bobbriggs

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