Interesting isn't it. There is also a method of P.D.E's involving fourier transforms via the fourier integral, which is pretty much a blend of what you stated. It's combination of transforms and fourier series representations.
If the circle is inscribed inside an equilateral triangle and the moving point p making as sum of squares from the corner points it will be a constant as 4/5 s ^2 where s is the side of equilateral truangke forming the sum of squares of distance from corner of equilateral triangle that may give a clue on temperature distribution when the triangular points as decided by 0.0.1 1,0,0 1,0,0 by a constant k value.
7:20 can somebody explain me how he got that by expanding the series ? EDIT: for anyone interested I found this video where the passage is explained th-cam.com/video/s9UNnxq3Ar8/w-d-xo.html
Could any one please give me a hint how to solve a nonlinear coupled pdes like {F(x, y) + UxVy - UyVx=0; G[x, y]Ux+H(x, y)Vx=0}, in which F G H are polynomials of x, y and U V are unknow functions of x,y ? Any clues about methods or tools ,mumerical or precise shall be helpful .
this guy just simplified entire engineering math into one lecturer...legend
The amount of knowledge in this 14 min video is extraordinary. This man is a legend!
9:10 "You don't often for partial differential equations get some nice expression for the solution"
I laughed so hard
This guy makes me wanna apply to MIT 🙌🏽🎊🔥
An exceptionally good explanation and example for Laplace's Equation.
for laplace equation we use fourier, and for other differential equations we use laplace transform, lol
Interesting isn't it. There is also a method of P.D.E's involving fourier transforms via the fourier integral, which is pretty much a blend of what you stated. It's combination of transforms and fourier series representations.
If the circle is inscribed inside an equilateral triangle and the moving point p making as sum of squares from the corner points it will be a constant as 4/5 s ^2 where s is the side of equilateral truangke forming the sum of squares of distance from corner of equilateral triangle that may give a clue on temperature distribution when the triangular points as decided by 0.0.1 1,0,0 1,0,0 by a constant k value.
7:20 can somebody explain me how he got that by expanding the series ?
EDIT: for anyone interested I found this video where the passage is explained th-cam.com/video/s9UNnxq3Ar8/w-d-xo.html
Take a look for Lecture 7.4 also th-cam.com/video/-D4GDdxJrpg/w-d-xo.html
Bookmarked. I love this sort of stuff.
Fall in Love with voice
Could any one please give me a hint how to solve a nonlinear coupled pdes like {F(x, y) + UxVy - UyVx=0; G[x, y]Ux+H(x, y)Vx=0}, in which F G H are polynomials of x, y and U V are unknow functions of x,y ? Any clues about methods or tools ,mumerical or precise shall be helpful .
prof strang ^^ worship your lecture
This is helpful ❤️🤍
Thanks ❤️🤍
thanks a lot for such a great
Nice
I guess there is a plus after the 1 over 2 pi. I know everyone knows it, and G Strang does it because he knows everyone knows it.
but then how will the value be 1/2pi at zero?
@@kajarihaldar6061 Good point.