I have the following equation
Exp[a-t]*DiracDelta[t-a] == DiracDelta[t-a]
which cannot be evaluated. However, if I plug in 0 for a:
In = Exp[t]*DiracDelta[t] == DiracDelta[t] Out = True
This does not seem to work with values other than 0.
Of course, the equality with delta functions may be mathematically tricky, but in this case
Exp[a-t] == 1 for
a == t, thus the first expression should yield
True (in my opinion...). How can I get to this value?