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MATLAB HELP!!!!!!!!!!!!!!! Consider the following initial value problem over the interval from % t = 0 to 4 where % y(0) = 1 % dy/dt

MATLAB HELP!!!!!!!!!!!!!!!

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

% Notice that this is a function of BOTH t and y!!

a. 10 pts Solve analytically using MATLAB's symbolic algebra capabilities

% By solve I mean... create a symbolic expression for y in terms of t

%% b. 5 pts Convert your result from part a into an anonymous function

% called f

%% c. 25 pts 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. 10 pts 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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