- #1
lillybeans
- 68
- 1
Homework Statement
(3y4-11x2y2-28x4)dx-(4xy3)dy=0
Homework Equations
My=Nx if equation is exact, if not, I can make it exact (I hope) by finding an integrating factor. The problem is I can't get the integrating factor to be a function of x or y only.
The Attempt at a Solution
Let stuff in front of dx=M
Let stuff in front of dy=N
My=12y3-22x2y
Nx=-4y3
My-Nx=16y3-22x2y
First try (My-Nx)/N=(16y3-22x2y)/4xy3
Not a function of x only.
Then (My-Nx)/-M=16y3-22x2y/-(3y4-11x2y2)
Not a function of y only.
Am I using the wrong method to solve this question? I don't see any other way to go about it rather than turning this into an exact equation. Why can't I find an integrating factor that has a pure x or y expression?
Thanks.