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Calculus is the branch of mathematics which deals with the study of rate of change of quantities. This is usually divided into differential calculus and integral calculus which are concerned with derivatives and integrals respectively. DO NOT USE THIS TAG just because your question makes use of calculus.
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Cross factor for dependent terms in a differential?
How do you derive a cross factor to decouple differentials into independent differentials? For example:
$$ d(PV)= PdV+VdP $$
$$ PV=\int{PdV}+\int{VdP} $$
Obviously dP and dV are related. Do you simply …
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Solving an inexact differential
An inexact differential describes a path dependent quantity, meaning I can't just subtract the value at an initial and final state to get an answer. Take for example work which is $$ W=\int F\cdot dx$ …