Substitution to make it seperable

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[tex]\acute{y}+xy^{3}+\frac{y}{x}=0[/tex]
[tex]y(1)=2[/tex]
using substitution [tex]u=y^{-2}[/tex]

[tex]e^{y}\acute{y}=e^{-x}-e^{y}[/tex]
[tex]y(0)=0[/tex]
using substitution [tex]u=e^{y}[/tex]

i could not make these equations seperable and solve for the IVP.
Anyone has any idea?

Edit: these problems are not homework, but for self study for preparation to the midterm.
 
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[tex]\frac{dy}{dx}+xy^{3}+\frac{y}{x}=0[/tex]

[tex]\frac{dy}{dx}+\frac{y}{x}= -xy^3[/tex]


Now read http://en.wikipedia.org/wiki/Bernoulli_differential_equation" for the rest really.
 
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thank you, I solved them all.