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Solve the differential equation 2x^2(dy)...

Solve the differential equation `2x^2(dy)/(dx)-2xy+y^2=0`, `y^2(e)=e`

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`2x^2dy/dx-2xy+y^2=0`
`2x^2*1/y^2dy/dx-2x/y+1=0`
`2x^2(-dz/dx)-2xz+1=0`
`2x^2dz/dx+2xz=1`
`dz/dx+1/x^2=1/(2x^2)`
`d/dx{ze^(int1/xdx)}=1/(2x^2)*e^(1/xdx`
`d/dx(2x)=1/(2x^2)*x`
`2x=int 1/(2x)dx`
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