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

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

Find the equation of the curve passing through (1,0) and which has slope 1+(y)/(x) at (x,y)

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=e^(x)sinx.

Find the equation of a curve passing through the point (0,2) . Given that at any point (x,y) on the curve, the product of the slope of its tanget and y coordinate of the point is equal to the x coordinate of the point.

Find the equation of a curve passing through the point (0,-2) . Given that at any point (x,y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

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

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the curve passing through the point (0,1), if the slope of the tangent to the curve at any point (x,y), is equal to the sum of x coordinate and product of x coordinate and y coordinate of that point.

Find the equation of the curve passing through the point (2,-3), given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))