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The answer will depend on the nature of the differential equation.
Power dissipated by the entire series circuit = (voltage between its ends)2 / (sum of resistances of each component in the circuit). Power dissipated by one individual component in the series circuit = (current through the series circuit)2 x (resistance of the individual component).
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A data series is a collection of data, most likely numbers, that you would use to graph or solve an equation.
The mathematician who formalised differential calculus and who is responsible for the notation in use today is Gottfried Leibniz. However, in has calculation of pi, Aristotle used the principle of convergent series and limits more than 2000 years earlier.