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## Homework Statement

Solve y'=y^2/x , y(1)=1 and give the largest x-interval on which the solution y(x) is defined.

## Homework Equations

## The Attempt at a Solution

[tex]dy/dx = y^{2}/x[/tex]

[tex]\int dy/y^{2}= \int dx/x[/tex]

[tex]y=1/(1-ln|x|)

[/tex]

Therefore, i find intervals [tex](\infty, e), (0,e), (- \infty , -e)[/tex] where y(x) is defined.

so would the intervals to choose be [tex](\infty, e) & (- \infty , -e)[/tex]??

Thanks

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