Question: Please provide matlab code! Clear, clc, close all, format compact, format shortg Consider the following initial value problem over the interval from t = 0

Please provide matlab code!

Please provide matlab code! Clear, clc, close all, format compact, format shortg

Clear, clc, close all, format compact, format shortg Consider the following initial value problem over the interval from t = 0 to 4 where y(0) = 1 dy/dt = cos(0.8*y)*t (Not necessarily matlab code) Notice that this is a function of BOTH t and y! ! a. Solve analytically using MATLAB's symbolic algebra capabilities By solve I mean... create a symbolic expression for y in terms of t b. Convert your result from part a into an anonymous function called f c. Use Euler's method to solve this problem for y, using a step size of 0.2. Display your results by creating a table showing the t value, the corresponding y value determined with Euler's method, and the analytically determined value of y - which is a function of t Your table should have a title and appropriate column headings d. Plot your results - Be use to add a title and axis labels. Your plot should include two lines - one for the analytical solution and one for the solution based on Euler's method. Show the calculated points from Euler's method as circles - Also include a legend

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