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Consider the initial value problem given below. y' = 4sin(x+y), y(0)=2 By experimenting with the improved...

Consider the initial value problem given below.

y' = 4sin(x+y), y(0)=2

By experimenting with the improved Euler's method subroutine, find the maximum value over the interval [0,2] of the solution to the initial value problem. Where does this maximum value occur? Give answers to two decimal places.

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