Halsofivy, you are right u(x) should be in terms of x. the way it works out in the book examples is y gets factored out while solving for the intigal. leaving only a function of x.
1. solve the problem first finding an integrating factor of susceptible form.
y(x+y)dx+(xy+1)dy=0Homework Equations
form: M(x,y)dx+N(x,y)dy=0
intigrating factor: eint(1/n(dm/dy-dndx)dx
The Attempt at a Solution
u(x)=eint(1/(xy+1)(y(x+y)d/dy-(xy+1)d/dx)dx
this reduces to
eint((x+y)/(xy+1))dx...
My name is Stuart. I'm a ME student. I've come here looking for help on HW. I'm in Differential EQ's and Linear algebra right now and struggling. this is my last pure math class so I'm hoping to make it through with a little bit of guidance.