The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iii) Use the substitution u = N-1/2 to show that the exact solution of the equation (1) satisfying the initial condition N(0) = No > 0 is given by N() = [K-l/? + (N,"? K-?)eT. -1/2) Determine the behaviour of the solution in the limit of t 0o. [7 marks]