Question: A rectangular region of ( 0 x a , 0 y b initially exhibits a spatial temperature distribution of F ( x , y )

A rectangular region of (0xa,0yb initially exhibits a spatial temperature distribution of F(x,y). For times t>0, this region dissipates heat by convection from all the boundaries into an environment at 0 K . The convective heat transfer coefficient h is the same for all the boundaries. Obtain an expression for the temperature distribution T(x,y,t) in this region for t>0.
A rectangular region of ( 0 x a , 0 y b initially

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