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In most of our analysis of continuous systems ex: in fluid mechanics, solid mechanics etc. we consider a differential element(infinitesimally small element) and obtain the differential equations that govern the phenomenon. But why do we consider a differential element? What is it's significance? Or does it have any advantages? Does it simplify our analysis?

Also do we have another method instead of the differential approach to obtain the governing differential equations for a particular phenomenon?

Thanks.

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# Why consider Differential Element

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