I've got a problem with exact equations here, the question I've got is,(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x \frac {dy}{dx} = 2xe^x-y+6x^2 [/tex]

sp, i put it in the form,

[tex] x dy-(2xe^x-y+6x^2) dx = 0 [/tex]

[tex] x dy+(-2xe^x+y-6x^2) dx = 0 [/tex]

the equation would be exact as,

[tex]\frac {\partial M}{\partial x}=1[/tex]

[tex] \frac {\partial N}{\partial y} =1 [/tex]

But when I integrate M wrt. y and N wrt x I get totally different answers. So which one do I follow? Thanks.

: )

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# An Exact Equation

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