Session 10: Steady two dimensional heat equation: Proof, an example and hints for different types

[@aryabhatt7375]

0:52 it is wave equation

[@DrMathaholic]

Thank you.
Dear Viewers, at 0:52, the term on the left hand side of the equation is of first order and not second order derivative.
For heat equation: first order
For wave equation: second order.

[@aviraj983]

sir at 20:06 we should directly put A*n in the equation of u(x,y), don't need to calculate An because we will directly get the value of A* itself
Also at start you wrote d2u/dt2 but I think it should be du/dt though it doesn't affect the derivation

[@DrMathaholic]

👍👍👌

[@parthingale394]

Thank you Sir for all the top class content which you are providing to us. As a COEP student, I know the value of your lectures. Thanks a lot sir ☺️

[@DrMathaholic]

Glad to hear that Parth. Hope paper went well 😊

[@parthingale394]

@@DrMathaholic yess sir

[@abishekrai1804]

thank you sir 🙏 now my concept is clear it was the best lecture over all channeles

[@DrMathaholic]

Glad to hear that..thank you.. :)

[@RahulSaini-em6mg]

Pls elaborate how we will change x & y in this general equation if the boundary conditions is 1 on right, bottom and left wall

[@madhurwagle8694]

Sir, at 18:47, the property is for integration from -a to a but, our integration was from 0 to 2. Then how it is applied to this integration?

[@DrMathaholic]

Good question!! I was expecting someone to ask.😀

[@DrMathaholic]

Integrand is even function so I write outside 2/2 then numerator 2 will go away when I write limits -2 to 2. Then i can apply this theorem.

[@DrMathaholic]

I hope this clears your doubt.

[@madhurwagle8694]

@@DrMathaholic Yes Sir. Thank You!

[@DrMathaholic]

@@madhurwagle8694 great

[@DadaPatil-lb8ho]

A1 =1/sinh(π)

[@DadaPatil-lb8ho]

A1= 1/sinh(π) 20:25

[@irshadsirslectures4446]

We had been together in some workshop

[@DrMathaholic]

Yes Irshad. How are you? I remember 😊 AFS I, at CMI in December 2012, i guess.

[@irshadsirslectures4446]

@@DrMathaholic Yes I am good and u, what is current status of Maharashtra

[@DrMathaholic]

@@irshadsirslectures4446 very bad!! Hope situation gets improve soon.

[@DrMathaholic]

Hope you enjoyed the lecture 😀 pls share with your students as well.

[@irshadsirslectures4446]

@@DrMathaholic sure sir send ur Watsapp number on fb as we are friends there

[@omgawande1567]

sir An=0.28

[@DrMathaholic]

Thank you Om for commenting the answer...

[@DadaPatil-lb8ho]

A1= 1/sinh(π) 20:25

[@DadaPatil-lb8ho]

A1= 1/sinh(π)