Consider the following ﬁrst order DEs (0% =m(1 —y) dy _ (III) E — —y — :1: (iv) 3 = 22:3 — 23:3; (a) Find the general solution of each DE. (b) By using the form of the DE and the solution, give a qualitative sketch of the family of solutions of each DE, showing some

typical solutions and exceptional solutions (which usually, but not always, means when the arbitrary constant is zero). :1 In your diagram, indicate as a dotted curve the set of all points at which the slope (1—: is zero {i.e. the zero isocline).