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DSolve y'[t]==y[t-a]

I want to solve the equation in the subject. If I enter
  DSolve[y'[t] == y[t - a], y[t], t]
I get the error DSolve::ambiguity.

I triede to define
and to solve the resulting system, but this doesn't work either
because the ambiguity of the independent variable remains.

Any ideas?

Gruss Peter
Peter Breitfeld, Bad Saulgau, Germany --

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