the logistic model:

dN/dt = rN* ( 1 - (N/K)) , N(0) = No

where No is (N subscript 0)

by making the substitution N = 1/y and dN/dt = -1/y^2 dy/dt in the logistic model solve for y(t) and hence show that the solution is:

N(t) = NoK / [ No + (K - No)e^(-rt) ]

how do i do this????