Question

The autonomous Gerential equation PPT represents a model for population growth Use a phaseline analysis to sketch solution curves for selecting therent starting values PjWhich equilibria are stable, and which are unstable? Construct a phase in Choose the come we below Po PO P- Оe re OD P- Which graph below correctly sketches the solution curves for -PP- ОА OB oc Which equilibrare stable? OA. The equilibrium stable comme porte nowers as needed Typen por a fraction OB. None of the questa Which are O A The equilibrium va sarebbe como repressed Type angor OB. None of the equilibria we unstable

Answer 1

sir equilibrium 0 is stable and 7 is unstable. First question options are not clearly visible that answer be option A.

Given de differential een 2 (2-1) dt eauleistium points are (proy p = 7 solution: chud cis aconstant PG) 7 PEAda e F tl ectiutt Direction pro el Lo PRO pico PTO plso p=0 piso مدافع option option ( solution cune 7 Geton B © The eavieibrium value pao is stable. The eaujeission value [7 is unstable.