help- heat equation

chenrim

1 .) i added several problems which i couldnt understand the approach for solving them.
i'm kinda confused, will glad if someone would guide me.

2.) in class weve 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

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fluidistic

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 [itex]u(x,t)=F(x)G(t)[/itex]. I suggest you to read about this method on the Internet.
2)I have no idea, never heard of such thing.