Total differential

1. Aug 30, 2009

Azorspace

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

I'm kind of confused with the total differential, because when i integrate it i get a contradiction, so i wonder if anyone could tell me what i'm doing wrong, please see the attachment to see my problem.

Attached Files:

• The total differential of a function z of two variables is defined like this1.doc
File size:
44.5 KB
Views:
40
2. Aug 30, 2009

rock.freak667

dz=(∂z/∂x)dx+(∂z/∂y)dy

∫dz=∫(∂z/∂x)dx+∫(∂z/∂y)dy

which would give z(x,y)= z(x)+z(y) + constant