Advanced physics

A population of butterflies lives in a meadow, surrounded by forest. We want to investigate the dynamics of the population. Over the course of a season 18% of the butterflies that were there at the beginning die During each season, 20 now butterflies per square kilometer arrive from other meadows. of The number of butterflies per square kilometer can be described by a linear DTDS of the for it . (x, ). where zy is the number of butterflies per square kilometer at the beginning of beacon t. Find the updating function / expressed as a function of r. Answer /(x) bj if at the beginning of season f - 0 we have 105 butterflies per square kilometer in the meadow, compute the number of butterhas per square clometer at the beginning of seasona 1. 2, and 3. Your answers must be accurace to at least two decimal places Answer and c) Find the fixed point at of this Inear DTDS. Give the exact answer: do not give a rounded decimal anmoor Anowor IF dj Write the goranil solution of the DTDS with the initial condition ro -105, expressed as a function of Answer S