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

Find the solution of the differential equation x(dy)/(dx)=y+x^3

For the differential equation xy(dy)/(dx) = (x + 2)( y + 2) , find the solution curve passing through the point (1, -1).

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

The equation of the curve satisfying the differential equation y((dy)/(dx))^2+(x-y)(dy)/(dx)-x=0 can be a (a) circle (b) Straight line (c) Parabola (d) Ellipse

The equation of the curve satisfying the differential equation y((dy)/(dx))^2+(x-y)(dy)/(dx)-x=0 can be a (a) circle (b) Straight line (c) Parabola (d) Ellipse

The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is

Find the equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is