In Problem we study the effect of parameters on the solutions of differential equations. For each equation,

Question:

In Problem we study the effect of parameters on the solutions of differential equations. For each equation, do the following.
(a) Determine values of k where the number and / or nature of equilibrium points changes.
(b) Draw direction fields and sample solutions to the DE for different values of k.
y' = ky2 + y +1