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+log x)dx+xdy=0 given that when x=1,y=1

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

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

Solve the differential equation x*(dy)/(dx)-y=logx .

Find the particular solution of the differential equation (1+y^(2))(1+logx)dx+xdy=0 , it is given that at x=1 , y=1 .

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 y^(2)(dx)/(dy) + x = 1 .

Solve the differential equation (x+y)dy+(x-y)dx=0; given that y=1 when x=1.

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

Solve the differential equation (x+2y^(2))(dy)/(dx)=y, given that when x=2,y=1