Question: (15 points) This problem deals with a model for a bistable biochemical reaction. This is described by the following non-linear ODE: dtdx=k1x3+k2x2k3x+k4 where x is

 (15 points) This problem deals with a model for a bistable

(15 points) This problem deals with a model for a bistable biochemical reaction. This is described by the following non-linear ODE: dtdx=k1x3+k2x2k3x+k4 where x is the concentration of some chemical species and the ki are reaction rates. For this problem, we will use these values: k1=0.0015,k2=0.15,k3=3.5, and k4=20 (a) Write a Matlab code that use RK4 to integrate the differential equation until it reaches a steady state value. Your code should automatically generate a plot of x(t) for initial conditions (t=0):x0=0,x0=15, x0=30, and x0=50. (b) Use your program in part (a) to determine the value of the steady state, xs, reached by each different initial conditions x0=0,1,2,,100. Your program should make a plot of the steady state, xs vs the initial concentration x0

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