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Apr 28th, 2017
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  1. restart;eq:=diff(T(t),t)=-k*(T(t)-Tm);
  2. >
  3.  
  4. d
  5. eq := -- T(t) = -k (T(t) - Tm)
  6. dt
  7.  
  8. > cond:=T(0)=T0;
  9. >
  10.  
  11. cond := T(0) = T0
  12.  
  13. > sol:=dsolve({eq,cond},{T(t)});
  14. >
  15.  
  16. sol := T(t) = Tm + exp(-k t) (-Tm + T0)
  17.  
  18. > tt:=unapply(rhs(sol),t,Tm,T0,k);
  19.  
  20. tt := (t, Tm, T0, k) -> Tm + exp(-k t) (-Tm + T0)
  21.  
  22. > plot(tt(t,20,10,0.1),t=0..100);
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