3 cot
sin2 ;
2 when
2
dy
y
x
x y
x
dx
π
−
=
=
=
16 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 17 Find the equation of a curve passing through the point (0, 2) given that the sum of
the coordinates of any point on the curve exceeds the magnitude of the slope of
the tangent to the curve at that point by 5