You are given a logistic equation with one or more initial conditions. 

(a) Determine the carrying capacity and intrinsic rate. 

(b) Sketch the graph of dN/dt versus N in an Nz-plane. 

(c) In the tN-plane, plot the constant solutions and place a dashed line where the concavity of certain solutions may change. 

(d) Sketch the solution curve corresponding to each given initial condition.

dN/dt = .3N(100 - N ), N(0) = 25