Find the particular solution of the differential equation `{xsin^(2)(y/x)-y}dx+xdy=0`, it being given that `y=pi/4` when `x=1`.

Find the particular solution of differential equations : [x sin^2(y/x)-y]dx+xdy=0,y(1)=pi/4 .

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

Find the particular solution of the differential equation (xe^(y/x)+y)dx=xdy, y = 1 when x = 1.

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

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 .

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 .

Find the particular solution of the differential equation (xe^(y//x)+y)dx=xdy , given that y(1)=0 .

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

The particular solution of the differential equation xdy + 2 y dx = 0, when x = 2,