For and , define

Show that u satisfies the partial differential equation

- February 21st 2011, 06:40 AMmaximus101Show that u(x,t) satisfies this partial differential equation
For and , define

Show that u satisfies the partial differential equation - February 21st 2011, 07:19 AMTheEmptySet
- February 21st 2011, 08:08 AMtom@ballooncalculus
Just in case a picture helps...

http://www.ballooncalculus.org/draw/ftc/one.png

... where (key in spoiler) ...

__Spoiler__:

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Don't integrate - balloontegrate!

Balloon Calculus; standard integrals, derivatives and methods

Balloon Calculus Drawing with LaTeX and Asymptote!