How to define a differential operator in Mathematica? – mathematica.stackexchange.com

I want to define an operator $(\partial_{t}+1)^{2}=\partial_{t}\partial_{t}+2\partial_{t}+1$. Then, I want it to act on $t$. My code looks like this: op[t_] := (D[#, {t, 1}] + 1 #)^2 & op[t][t] ...

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