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undefined You are to create a script in Matlab that will estimate the solution for an ordinary differ- ential equation using the RK4 method outlined
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You are to create a script in Matlab that will estimate the solution for an ordinary differ- ential equation using the RK4 method outlined above. Below is some code to help you get started: %RK4 clearvars % always helpful to have so matlab doesn't remember past things! f = @(t,y) (-2*t*y^2); %define function, e.g. your y' %the initial conditions y0 = 1; t0 = 0; Q_val = 1; %define query point h = .5; %step size iteration = round((Q_val-t0)/step); %helpful if your IVP is not at t=0. yi = zeros(iterationN+1, 1); %initalize empty vector for y values ti = zeros(iterationN+1,1); %initialize empty vector for t values %placing IVP into yi and xi vectors yi(1) = y0; ti(1) = t0; From here you need to implement a for loop to approximate the solution. You are to create a script in Matlab that will estimate the solution for an ordinary differ- ential equation using the RK4 method outlined above. Below is some code to help you get started: %RK4 clearvars % always helpful to have so matlab doesn't remember past things! f = @(t,y) (-2*t*y^2); %define function, e.g. your y' %the initial conditions y0 = 1; t0 = 0; Q_val = 1; %define query point h = .5; %step size iteration = round((Q_val-t0)/step); %helpful if your IVP is not at t=0. yi = zeros(iterationN+1, 1); %initalize empty vector for y values ti = zeros(iterationN+1,1); %initialize empty vector for t values %placing IVP into yi and xi vectors yi(1) = y0; ti(1) = t0; From here you need to implement a for loop to approximate the solutionStep by Step Solution
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