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Exercise 5 On page 196 of the lecture workbook you can see how to solve the IVP z +' - = cos(t), 2(0)=1, 7(0) =

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Exercise 5 On page 196 of the lecture workbook you can see how to solve the IVP z" +' - = cos(t), 2(0)=1, 7(0) = 2, using Euler's method to step along solution curves for y and z using the formulae for y' and z' (except in the workbook they use r instead of t). You have already converted this ODE to a system of coupled equations in Exercise 4 by setting y=z'. What are the initial conditions z(0) = ze and y(0) = z'(0) =ye ? z@= 1 and ye = Using the anonyomus function from Exercise 4 to define the right hand side of the ODE, which of the following is the correct syntax for ode45 to solve the IVP over to t > plot(TY(:,1), 'ro-'); Give an explanation why we need Y(:,1) in the plotting command? Enter explanation Approximately what value for z do you get at t = 10? Saved

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