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

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

Find the particular solution of the differential equation (1+e^(2x))dy+(1+y^(2))e^(x)dx=0 given that y=1 when x=0

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

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

Find the particular solution of the differential equation: (1+e^(2x))dy+(1+y^(2))e^(x)dx=0 given that y=1, when x=0

Find the particular solution of the differential equation (1-y^(2))(1+log x)dx+2xydy=0, given that y=0 when x=1

Find the particular solution of the differential equation (1-y^(2))(1+log x)dx+2xydy=0 given that y=0 when x=1

Find the particular solution of the differential equation ;(x^(2)+xy)dy=(x^(2)+y^(2))dx given that y=0 when x=1

Find the particular solution of the differential equation x(dy)/(dx) - y = (x + 1 ) e^(-x) given that y = 0 when x = 1 .

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