Given the function dy/dx=x^2-1with the initial value of y(0) = 1.Use MATLAB to find the following: Use Euler method to graph an estimate for the initial value problem with f(x,y) = x^2 - 1over the interval 0< x < 2. Graph that do not have legend, title or labels will not receive grades. All plots have to be done using MATLAB. Express all values corresponding to each of the values if step size is 0.5. Estimate the value of y(3).

Euler's Method

2020 12 5

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Given the function dy/dx=x^2-1with the initial value of y(0) = 1.Use MATLAB to find the following:

Use Euler method to graph an estimate for the initial value problem with f(x,y) = x^2 - 1over the interval 0< x < 2.
Graph that do not have legend, title or labels will not receive grades.
All plots have to be done using MATLAB.
Express all values corresponding to each of the values if step size is 0.5.
Estimate the value of y(3).