circuit térmic

estufa de llum y congelador de llum:
(-1)·d_{t}[T(x)T(t)] + (a/R)·(T(x)T(t)) = V(x,t)
(B/R)·d_{xx}^{2}[T(x)T(t)] + (a/R)·(T(x)T(t)) = V(x,t)
T(x)T(t) = e^{(R/B)^{(1/2)}xi}e^{(-t)}+(R/a)·( k+nx ) <==> V(x,t) = k+nx


calefactor y aire acondicionat:
(-1)·d_{t}[T(x)T(t)] + (-1)·(a/R)·(T(x)T(t)) = V(x,t)
(B/R)·d_{xx}^{2}[T(x)T(t)] + (-1)·(a/R)·(T(x)T(t)) = V(x,t)
T(x)T(t) = e^{(-1)·(R/B)^{(1/2)}x}e^{t}+(-1)·(R/a)·( k+nx ) <==> V(x,t) = k+nx


ecuació del calor:


(B/R)·d_{xx}^{2}[T(x)T(t)] + d_{t}[T(x)T(t)] = 0


radiador y nevera:
(-1)·d_{t}[T(x)T(t)] = V(x,t)
(B/R)·d_{xx}^{2}[T(x)T(t)] = V(x,t)
T(x)T(t) = e^{(R/B)^{(1/2)}x}e^{(-t)} <==> V(x,t) = e^{x}e^{(-t)}
T(x)T(t) = e^{(R/B)^{(1/2)}x}e^{(-t)}+k·( (-t)+(1/2)·x^{2} ) <==> V(x,t) = e^{x}e^{(-t)}+k