(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex] (2x+y^2) dx +4xy dy=0,y(1)=1 [/tex]

2. Relevant equations

3. 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.

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# ODE with integrating factor NEED HELP

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