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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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