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!
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.
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
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..🙏
Yes - if one solves it without the initial conditions. Say the two independent solutions are y1 and y2. Then the general solution is constructed by y= C1 y1 + C2 y2. Then if initial conditions are applied, C1 and C2 become numbers and you get a single solution that satisfies the initial conditions. Here I am applying the initial condition already, so C1 and C2 are already determined as I solve.
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!
Instablaster...
I still don’t understand why it is so
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.
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!!!
You are brilliant, this made so much more sense.
Best tutorial i have watched
I never actually understand how y(0)=a0 and y'(0)=a1 untill I saw it written like this. Thanks!
I might be late, but this video is so helpful and the explanation is clear!! thank you so much Sir!
Thank you so much for this very clear and understanding explanation!
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
from my heart
Thank you sir for explaining the concept clearly.
Sir when we have to put these condition in the answer?
This is amazing!!!Thanks a lot!!!
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..🙏
thank you !!
it helped a lot !
what do you mean by "term shifting"?
ua-cam.com/video/etZydiyevOk/v-deo.html
i love you thanks for helping me
thanks sir ...nice click
Sholdn't a 2nd order equation have 2 linearly independent solutions?
Yes - if one solves it without the initial conditions. Say the two independent solutions are y1 and y2. Then the general solution is constructed by y= C1 y1 + C2 y2. Then if initial conditions are applied, C1 and C2 become numbers and you get a single solution that satisfies the initial conditions. Here I am applying the initial condition already, so C1 and C2 are already determined as I solve.
@@daniel_an Thanks, Daniel
Yea
jet lee
thanx keep it up