- #1
TheFirstOrder
- 3
- 0
Homework Statement
Solve
((y^2)+xy+1)dx+((x^2)+xy+1)dy=0
using the method of exact equations.
Homework Equations
I must use:
(N[tex]_{x}[/tex]-M[tex]_{y}[/tex])/(xM-yN)=F(xy)
The Attempt at a Solution
The problem that I'm having is that I can't get the required partial derivatives to be equal to each other. How do can I change it so that N[tex]_{x}[/tex]=M[tex]_{y}[/tex]?
When I started this problem initially, I got F(xy)=1, which is not right as 1 is not a function of xy (and I had forgotten to check that the partial derivatives were equal to each other) :P
Please help. It's my first time here.
And sorry, the superscripts are meant to be subscripts!