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DO NOT USE THIS TAG just because the question contains a differential equation!

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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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Partial Differential with independent quantities held constant meaning?

$$ \mu_{JT}=\left(\frac{\partial T}{\partial P}\right)_H= \frac{V}{C_p}(\alpha T -1) $$ and $$\left(\frac{\partial T}{\partial P}\right)_H \left(\frac{\partial H}{\partial T}\right)_P \left(\frac{\par …
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