Consider the following initial value problem: v(t) = e*()-°, y(4) = b. It is known that the exact solution is y(t) = 9 – In(4 + e* – t). (9.1) Euler's method is used to find the approximation of the solution for the initial value problem on the interval [4, 7] with 6 time intervals. It is known that y = 3.00248. Find an approximation for y(7) rounded to 5 decimal places. Also round your answer in each step to 5 decimal places. Use the rounded value in the next step. (9.2) Calculate the local error e4. Do not round answers for any intermediate steps. Give your final answer rounded to 4 significant digits. (9.3) Calculate the global error E. Do not round answers for any intermediate steps. Give your final answer rounded to 4 significant digits.

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