Question: I need to input through MS Word which I understand somewhat but more importantly input through Microsoft Excel. I do not understand Excel and if

I need to input through MS Word which I understand somewhat but more importantly input through Microsoft Excel. I do not understand Excel and if you could explain the process I would appreciate it. ( for you to know I have already written the answers on paper and just trying to put in correct format now

I need to input through MS Word which I understand somewhat but

Problem 1: Consider the following Initial Value Problem (IVP) where y is the dependent variable and t is the independent variable: y = sin(t) * (1 -y) with_y(0) = yo and t2 0 Note: the analytic solution for this IVP is: y(t) = 1+ (yo -1)ecos(t)-1 Part 1A: Approximate the solution to the IVP using Euler's method with the following conditions: Initial condition yo = - 2: time step h = 16; and time interval t E [0,20] + Derive the recursive formula for Euler's method applied to this IVP + Plot the Euler's method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot Part 1B: Approximate the solution to the IVP using the Improved Euler's method with the following conditions: Initial condition yo = - 2: time step h = 16; and time interval te [0,20] + Derive the recursive formula for the Improved Euler's method applied to this IVP + Plot the Improved Euler's method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot Part 1C: Approximate the solution to the IVP using the RK4 method with the following conditions: Initial condition yo= - 2: time step h = 16; and time interval t e [0.20] + Plot the RK4 method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot

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