Total Differential Homework Help

Thread starter Azorspace
Start date Aug 30, 2009
Tags

Differential

AI Thread Summary

The discussion revolves around confusion regarding the total differential and its integration. The user presents the equation dz=(∂z/∂x)dx+(∂z/∂y)dy and attempts to integrate both sides, leading to a contradiction in the form of z(x,y)= z(x)+z(y) + constant. Participants are encouraged to review the attached problem to identify the error in the integration process. The key issue appears to be misunderstanding how to properly integrate the total differential. Clarifying these concepts is essential for resolving the confusion.

Aug 30, 2009

Azorspace

Homework Statement

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.

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Aug 30, 2009

rock.freak667

Homework Helper

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

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