Question: 3. Consider the initial value problem d_ 2. =2 -y, y0)=1 (a) Use Euler's Method to fill out the table on the next page with

3. Consider the initial value problem d_ 2. =2 -y, y0)=1 (a) Use Euler's Method to fill out the table on the next page with step size h = 1. (b) The initial value problem is actually linear. Solve it using an integrating factor and give the unique solution. (c) Using a calculator, compute the values of your solution from part (b) at the x ralues in the table from part (a). Which g, from part (a) is closest to the exact ralue of the solution from part (b) at z,,7 Which is furthest? (Only in 3 (c) should there be any decimals mentioned in any answer on the exam.)

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