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**1. The problem statement, all variables and given/known data**

Okay, so at my school, you can get into Diff EQs without taking Calculus 3. So, I get most of the basis of it, but some things I am missing the boat on.

How does one go from

[itex]d(\frac{1}{3}x^3y^3)=x^2y^3dx+x^3y^2dy[/itex] ?

How do you carry out that operator? It says to take the derivative of that 2 variable function, but does not say with respect to what?

I am assuming it is some sort of partial derivative...but I am not sure?

Thanks