Register to reply 
Exact equationsby TheFirstOrder
Tags: eaxt equations 
Share this thread: 
#1
Mar1410, 03:00 AM

P: 3

1. The problem statement, all variables and given/known data
Solve ((y^2)+xy+1)dx+((x^2)+xy+1)dy=0 using the method of exact equations. 2. Relevant equations I must use: (N[tex]_{x}[/tex]M[tex]_{y}[/tex])/(xMyN)=F(xy) 3. 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! 


#2
Mar1410, 03:21 AM

HW Helper
P: 2,323

Since Nx is not equal to My, the equation isn't exact. Are you sure you copied the question correctly?



#3
Mar1410, 03:26 AM

P: 3

Mx=2y+x Ny=2x+y I read things in my textbook that says I could times the original equation by a factor that would result in the two partial equations being equal, but that doesn't seem to work in this case. I'm completely clueless. 


Register to reply 
Related Discussions  
Physics equations, exact?  General Physics  26  
Differential equations  exact equations w/ integ factor  Calculus & Beyond Homework  2  
Differential equations  exact equations  Calculus & Beyond Homework  3 