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Z tranform can be used to solve the differential equations occurring in electrical problems.
To solve all sorts of problems. Any equation can be written in the form: (some expression) = 0 Simply by putting everything to the left. It turns out that polynomials are especially easy to solve if you put them in that form - because then you can solve them simply by factoring them. In other cases, for other functions, it might be more of a convention to put them in that form.
I belive it is Technology. but its just a guess. I think it is engineering (if this is for the times crossword) I believe it but sometimes I do not but maybe its true!!!!1