Question: Hello, please help me with this code problem. It should be in MatLab. Thanks! Consider the following stiff Initial Value Problem: dy/dt = -700 middot

Hello, please help me with this code problem. It should be in MatLab. Thanks!

Consider the following stiff Initial Value Problem: dy/dt = -700 middot y - 1000 middot e^-, y(t = 0) = 1 Calculate y(t) for t = [0 2]: (a) Use the MATLAB function ode45. (b) Use the MATLAB function ode23. (c) Use the MATLAB function ode15s. (d) Use the MATLAB function ode23s. (e) Plot the results for comparison and output the number of points used by the different solvers. (f) Read https://www.mathworks.com/help/matlab/math/choose-an-ode-solver.html#bu3n5rf-1. Then briefly explain the observed differences between the methods. Consider the following stiff Initial Value Problem: dy/dt = -700 middot y - 1000 middot e^-, y(t = 0) = 1 Calculate y(t) for t = [0 2]: (a) Use the MATLAB function ode45. (b) Use the MATLAB function ode23. (c) Use the MATLAB function ode15s. (d) Use the MATLAB function ode23s. (e) Plot the results for comparison and output the number of points used by the different solvers. (f) Read https://www.mathworks.com/help/matlab/math/choose-an-ode-solver.html#bu3n5rf-1. Then briefly explain the observed differences between the methods

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