EXACT Differential Equation

Exact Differential Equations:


2y^2-9xy+(3xy-6x^2)y'=0


m=2y^2-9xy   n=3xy-6x^2

partial m, respect to y = 4y-9x

partial n, respect to x = 3y-12x

They are not EXACT.  How do I make this Exact?
940775Asked:
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robertjbarkerConnect With a Mentor Commented:
You want to find a single equation, say f(x,y) such that:

m = df(x,y)/dx = 2y^2-9xy
n = df(x,y)/dy = 3xy-6x^2

If no such function exists, the original equation is not exact.
You can check if an equation is exact if dm/dy is equal to dn/dx.
But if they are not equal, the equation is not exact.
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aburrConnect With a Mentor Commented:
you can not (in general)
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aburrCommented:
change 9 to 12 and 3 to 4
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940775Author Commented:
I thought I was to multiply by a number to make it exact
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