Solving 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)=0

[Md. Abde Mannaf]

Homework Statement

test intelligibility and solve 2x(y+z)dx+(2yz-x² +y²-z²)dy+(2yz-x² -y²-z²)=0

Homework Equations

The Attempt at a Solution

 

[Md. Abde Mannaf]

how to integrate after??

 

[LCKurtz]

Homework Statement

test intelligibility and solve 2x(y+z)dx+(2yz-x² +y²-z²)dy+(2yz-x² -y²-z²)=0

I think the word you want is "exactness", not "intelligibility".

I'm just guessing here, but I bet you have the second term wrong. Instead of
(2yz-x² +y²-z²)dy
did you mean
$(2yz-x^2-y^2+z^2)dy$?

 

[SammyS]

Homework Statement

test intelligibility and solve 2x(y+z)dx+(2yz-x² +y²-z²)dy+(2yz-x² -y²-z²)=0

Judging by the workings which you included, you have a typo in your statement of the problem. It's missing dz .

2x(y+z)dx+(2yz-x² +y²-z²)dy+(2yz-x² -y²-z²)dz=0