Partial differential problem in introductory tensor analysis

[freddyfish]

So far I have only seen ∂/(∂y) as being interpreted as an operator being of no use unless it is applied to some vector etc.

Now, however, my course literature asserts the following equality:

y=∂/(∂y)

What is the interpretation of the differentials in this case?

 

[Einj]

I suppose is a short way to express $\frac{\partial \psi}{\partial y}=y\psi$.

 

[freddyfish]

Yes, that is a correct statement, but it relies on the asserted equality, so unfortunately it brings nothing new to the party. Luckily I have it all figured out by now, so I thank you for your answer and continue my studies. :)