Let Φ = (2xy - ) dx + (2yz + ) dy + ( - 2zx) dz be a differential 1-form defined on a star-like domain D in .
(a) Show that Φ is exact on D.
(b) Find a differential 0-form Ψsuch that Φ = dΨ on D.

Question

Let Φ = (2xy -  ) dx + (2yz +  ) dy + (  - 2zx) dz be a differential 1-form defined on a star-like domain D in  .
(a) Show that Φ is exact on D.
(b) Find a differential 0-form Ψsuch that Φ = dΨ on D.

Quizplus · Accepted Answer

The Answer of Let Φ = (2xy -  ) dx + (2yz +  ) dy + (  - 2zx) dz be a differential 1-form defined on a star-like domain D in  .
(a) Show that Φ is exact on D.
(b) Find a differential 0-form Ψsuch that Φ = dΨ on D.

Let Φ = (2xy - ) Dx + (2yz