Do integration by parts of the second term of the integrand,then you will get two terms,and after putting the limits the first term vanishes as n(eta) is 0 at the end points.(x1 and x2).
actually 1/(c^2) is just another constant, so its just a symbol. To avoid confusion one may write 1/c^2 as d, so the final equation will become Square root of d/y -1
I was wondering, Lagrangian was the one who invented Variational calculus. He was the one who got Lagrange's equation in physics. He arrived at the concept of Functionals. What did Hamilton did then? Because if Lagrange put Functional as L. He would arrive at same conclusion as Hamilton.
The music at the starting of every lecture is so soothing.
Love it.
Ahhh... it is absolutely easy to understand.. i love the way you teach, Sir. Slowly and detail..
I love it...
Greetings from Indonesia
Excellent professor, excellent examples. Thanks.
Satya vachan
I missed the integration by parts at 29:10, why do we write only the second term?
I got it at 1:11:15 , it is because n is equal to zero at the endpoints.
@@happyhayot thank you
Thank you so much...
Great lecture...
27:30 why third term didn't appear??
13:27 Could anyone please explain this step? I don't understand what sir is saying.
He said from the expansion of e to the power minus t Nx, we will consider only upto the linear term which is 1- tNx
Can anyone help me with the step at 29:13 ?
Where does the negative sign come from and how can we pull "eta " out?
Do integration by parts of the second term of the integrand,then you will get two terms,and after putting the limits the first term vanishes as n(eta) is 0 at the end points.(x1 and x2).
@@sheetalmadi336 Thanks. Figured that out. 🙂
In Brachistochrone problem according to my calculation y dot=√{1/(c^2*y)-1}. Where is my fault?
actually 1/(c^2) is just another constant, so its just a symbol. To avoid confusion one may write 1/c^2 as d, so the final equation will become Square root of d/y -1
Wow Very beautiful
Where can I find the first video? Thank you in advance.
ruclips.net/p/PLwdnzlV3ogoXUbQmP-T2gPhYXeEcxP6U8
Very good explanation.
I was wondering, Lagrangian was the one who invented Variational calculus. He was the one who got Lagrange's equation in physics. He arrived at the concept of Functionals. What did Hamilton did then? Because if Lagrange put Functional as L. He would arrive at same conclusion as Hamilton.
0:25
Super sir.
Thanks sir
Thanks sir