differential expression: Does it make sense?

rollingstein

I saw someone write this:

dW=Pd²V

I think this doesn't make any sense mathematically; but I wanted to check. Is this mathematically meaningful at all?

This I understand:

dW=PdV

W=∫PdV

But for dW=Pd²V I cannot see how one could proceed.

Here V is an independent variable; P=f(V).

HallsofIvy

No, that doesn't make sense. You cannot have a "first differential" equal to a "second differentrial.

rollingstein

Quote by HallsofIvy

No, that doesn't make sense. You cannot have a "first differential" equal to a "second differentrial.

Thanks.

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rollingstein	differential expression: Does it make sense? Tweet I saw someone write this: dW=Pd²V I think this doesn't make any sense mathematically; but I wanted to check. Is this mathematically meaningful at all? This I understand: dW=PdV W=∫PdV But for dW=Pd²V I cannot see how one could proceed. Here V is an independent variable; P=f(V).

HallsofIvy Recognitions: Gold Member Science Advisor Staff Emeritus	No, that doesn't make sense. You cannot have a "first differential" equal to a "second differentrial.