- #1
pat666
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Homework Statement
[tex] (2x+y^2) dx +4xy dy=0,y(1)=1 [/tex]
Homework Equations
The Attempt at a Solution
I'm having trouble finding the correct integrating factor, been playing with it for an hour and have made NO progress so need help.
[tex] \delta P/\delta y=2y [/tex]
[tex] \delta Q/\delta x=4y [/tex]
so its not exact and I need to find an integrating factor.
[tex] R=1/Q( \delta P/\delta y-\delta Q/\delta)=-1/2x [/tex]
[tex] F(x)= exp \int R(x) dx [/tex]
[tex] \int -1/(2x) = -ln(abs(x))/2 [/tex]
This integrating factor isn't going to make my ode exact though and I can't figure out what I have stuffed up?
Thanks for any help.