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

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 (0,2) . 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 (0,0) and whose differential equation is y' = e^(x) sin x .

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

The equation of the curves through the point (1, 0) and whose slope is (y-1)/(x^2+x) is

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 equation of the curve passing through the point (1,1) whose differential equation is x dy = (2x^(2) + 1) dx(x ne 0) .