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)i s(2x)/(y^2)dot`

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))

Find the equation of a curve passing through the point quad (-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 (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinates of the point.

Find the equation of a 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 the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

The slope of the tangent line to the curve x+y=xy at the point (2,2) is

Find the equation of the curve passing through origin if the slope of the tangent to the cuurve at any point (x,y) is equal to the square of the difference of the abscissa and ordinate of the point.

A curve passes through the point (3,-4) and the slope of.the is the tangent to the curve at any point (x,y) is (-(x)/(y)) .find the equation of the curve.

Determine the equation of the curve passing through the origin,the slope of the tangent of which at any point (x,y) is (x+1)/(y+1)