Help for Heat Equation - Questions from Chen

[chenrim]

1 .) i added several problems which i couldn't understand the approach for solving them.
i'm kinda confused, will glad if someone would guide me.

2.) in class we've talked about and calculated . n orders(0,1,2,3) of moments, how is it to do with the heat equations? and what is the importance?

thanks

chen

 

[fluidistic]

1 .) i added several problems which i couldn't understand the approach for solving them.
i'm kinda confused, will glad if someone would guide me.

2.) in class we've talked about and calculated . n orders(0,1,2,3) of moments, how is it to do with the heat equations? and what is the importance?

thanks

chen

For 1), I'd try the method of "Separation of variables". In other words, you make the ansatz (or assume) that a solution to the heat equation is of the form $u(x,t)=F(x)G(t)$. I suggest you to read about this method on the Internet.
2)I have no idea, never heard of such thing.