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please help me with this Mahtlab workshop u can use octave if u want please complete exercise 8.3 give me the code 8.3 Exercises 1.
please help me with this Mahtlab workshop u can use octave if u want
please complete exercise 8.3 give me the code
8.3 Exercises 1. Assume the following ODE. x=x(22x0.02+x2x) Use the fzero function to find steady state solutions, i.e., roots of x. Compare your results by plotting the function in the range 0x5. 2. Find the maximum of the following equation under the given constrain. argminx,yf(x,y)=x+y,x2+y2=1 Note: nonlinear constraints have to be code in a separate function: [ineq, eq] =confun(x) ineq =% can be empty if not specified eq= Consult the documentation how to call fmincon in this case. 3. Previously, you have encountered the logistic differential equation. Its analytic solution is: x(t)=1+(K/x0)exp(rt)K Assume you have the following data set to estimate the unkown parameters K and r. A common way to find an optimal parameter set is by minimizing is the sum of squared deviations of the solution x(ti) from the data points Di. argminK,rS(K,r)=i=1n(x(ti,K,r)Di)2 For simplicity we will assume that x0=D1. - Implement the function to be minimized. - Call the fminsearch function to find a minimum. Use K=1,r=1 as starting conditions. - Plot your final solution together with the data points. - How stable is your final estimate to different starting conditions for r and KStep by Step Solution
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