Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 4 / 14E / c / Solution

Multiplying $Dn\prime \prime +f(n)=0$ by $n\prime$ and using the endpoint conditions gives the logistic frontIt has $n_0(0)=1/2$ and direct differentiation verifies the equation for $r=1/2$.

Solved by gpt-5.6-sol high.