Find the equation of a curve passing through `(0,1)` and having gradient `(-(y+y^3))/(1+x+x y^2)a t(x , y)`

The equation of a curve passing through (2,(7)/(2)) and having gradient 1-(1)/(x^(2)) at (x,y) is

Find the equation to the curve passing through (2,2) and having its slope (-(x+y)/(x)) at the point (x,y).

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

Find the equation of the curve passing through (1,2) whose differential equation is y(x+y^3)dx=x(y^3-x)dy

Equation of the curve passing through the point (4,3) and having slope is (y)/(2) at a point (x,y) on it is

The equation of the curve passing through (3,4) and satisfying the differential equation. y((dy)/(dx))^(2)+(x-y)(dy)/(dx)-x=0 can be

Find the equation of a curve, passes through (-2,3) at which the slope of tangent at any point (x,y) is (2x)/(y^(2)) .

Find the equation of the curve which passes through (1,0) and the slope of whose tangent at (x,y) is (x^2+y^2)/(2xy)