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

Solve the differential equation : (1 + y^2) (1 + log x)dx + x dy = 0 given that y = 1 when x = 1

Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

Find the particular solution of the differential equation x(x^(2)-1)(dy)/(dx) =1, it being given that y = 0 when x = 2.

Solve the differential equation: (1+y^(2))(1+log x)dx+xdy=0 given that when x=1,y=1

Solve the differential equation : x (1 + y^2) dx - y (1 + x^2) dy = 0 given that y = 0 when x = 1

Solve the differential equation x(dy)/(dx)=y(log y-log x+1)

Solve the differential equation : x^2 (y + 1) dx + y^2 (x - 1) dy = 0

Solve the differential equation : x^2 (y + 1) dx - y^2 (x - 1) dy = 0

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

Solve the differential equation x(dy)/(dx)=y(log y - log x +1) .