Using EXP in equation

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I have the following equation:

$\ y' = te^{-2t} - 2y$

Where e is the exponential function. However when I see this being used I see EXP(x) and I don't understand how i'd write the equation with that terminology. So how would I rewrite this to use EXP(x)?

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$\mathrm{exp}(x)$ is just a different notation for $e^x$, so your equation would become $y^\prime = t\mathrm{exp}(-2t)-2y$.