Consider the following first order ODEs. dy (i) = x(1-y) (ii) dx dy 13 dx = -2xy + 2x³ (a) Find the general solution of each ODE. (b) By using the form of the ODE and the solution, give a qualitative sketch of the family of solutions of each ODE, showing some typical solutions and all exceptional solutions. In your diagram, indicate as a dotted curve the set of all dy points at which the slope is zero. dx