Solve the differential equation `(1+y^(2))(1+log x) dx +x dy =0,` it being given that y=1 when x=1.

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Solve the differential equation: `(1+y^2)(1+logx)dx+x dy=0` given that when `x=1,\\ y=1.` Solve the differential equation: `(1+y^2)(1+logx)dx+x dy=0` given that when `x=1,\\ y=1.`
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