Let a curve satisfying the differential equation `(x^(2)-yx^(2))(dy)/(dx)+y^(2)+xy^(2)=0` passes through (1,1) and intersects the line y=2x at (a,b) then the value of [b] is (where [.] denotes the greatest integer function)

The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^(2)+xy^(2)=0 , is

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

Solve the differential equation (xy^(2)+x)dx+(yx^(2)+y)dy=0

The curve satisfying the differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) and passing through (4,-2) is

The equation of the curve satisfying the differential equation x^(2)dy=(2-y)dx and passing through P(1, 4) is

The curve satisfying the differential equation (dx)/(dy) = (x + 2yx^2)/(y-2x^3) and passing through (1, 0) is given by

If the curve satisfies the differential equation x.(dy)/(dx)=x^(2)+y-2 and passes through (1, 1), then is also passes through the point

The curve passing through the point (1,1) satisfies the differential equation (dy)/(dx)+(sqrt((x^(2)-1)(y^(2)-1)))/(xy)=0. If the curve passes through the point (sqrt(2),k), then the value of [k] is (where [.] represents greatest integer function)