1.

The solution of the differential equation (dy)/(dx)+(y)/(x)=(1)/((1+lnx+lny)^(2)) is (where, c is an arbitrary constant)

Answer»

`XY[1+(ln(xy)^(2))]=(X^(2))/(2)+c`
`1+(ln(xy))^(2)=(x^(2))/(2)+y+c`
`xy(1+ln(xy))=(x^(2))/(2)+c`
`xy(1+ln(xy))=(x)/(2)+c`

Answer :A


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