- #1
CINA
- 61
- 0
Homework Statement
[tex]\frac{dy}{dx}=\frac{x+3y}{3x+y}[/tex]
Homework Equations
M(x,y)dx+N(x,y)dy=0
Exact equation (I think)
The Attempt at a Solution
Ok, so I try to put it in the form of the of an exact equation, like above, but I end up with
-(x+3y)dx+(3x+y)dy=0
This results in the partial of M with respect to y being -3 and the Partial of N with respect to x being 3, which is not equal!
I tried investigating to see if there is an integrating factor but [tex]\frac{M_{y}-N_{x}}{N}[/tex] and [tex]\frac{N_{x}-M_{y}}{M}[/tex] are not functions of just one variable. What am I doing wrong? Different method? Algebra mistake?
Thanks