Please show clear logicstepsProblem 1: Glycoprotein ConcentrationsFish living in extremely cold environments (suchas Greenland Cod) produce antifreeze gly-coproteins that bind to ice crystals in the body of the fish, preventing larger ice crystals fromforming.The flow diagram below describes a simplified model of the dynamics of the concentrationof glycoproteins G(t)in the stream of a Greenland Cod over time t, depending on positiveparameters s and k :(a) Write down the differential equation for the glycoprotein concentration corresponding tothe above flow diagram.(b) What does it mean to "solve" a differential equation such as the DE you wrote down in(a); what quantity is one solving for?(c) What does the quantity G(0) represent?(d) Find the equilibrium hat(G)of the differential equationdGdt=s-kG,s>0,k>0and determine its stability by sketching a phase plot.Based on the phase plot, what do you expect the long-time glycoprotein concentration tobe; that is, what islimtG(t)?(e) Show that the functionG(t)=(G0-sk)e-kt+skis the solution of the initial-value problemdGdt=s-kG,G(0)=G0Find limtG(t) for the solution G(t) given in(*), and verify that itis consistent withyour prediction in(c).(f) Plot the solution G(t) given in(*); use the parameter values s=40,k=2 and G(0)=G0=3. Indicate and label the initial condition G(0) and the equilibrium hat(G)on your plot.[You should use appropriate software to create your plot, using Desmos or any othercomputing platform or app of your choice.]