Example 23 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 Solution We know that the slope of the tangent to the curve is dy
dx Therefore,
dy
dx  = x + xy
or
dy
dx −xy
 = x