- #1
misogynisticfeminist
- 370
- 0
I've got a problem with exact equations here, the question I've got is,
[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.
: )
[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.
: )