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Indexed object as a variable


Is it possible to declare an indexed object in such a way that it behaves
like a variable and not a constant?. That is in the following example to
give the answer Dt[a1] Dt[x[1]] + Dt[a2] Dt[x[2]]

Mathematica 2.2 for DEC RISC
Copyright 1988-93 Wolfram Research, Inc.
 -- Motif graphics initialized -- 

In[1]:= eq = a1 x[1] + a2 x[2] 

Out[1]= a1 x[1] + a2 x[2]

In[2]:= Dt[eq]

Out[2]= Dt[a1] x[1] + Dt[a2] x[2]


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