23 24 Part 3: Multiple Choice: Some questions may have more than one answer. Choose all that apply. You will receive .4 marks for each correct choice including those statements you correctly omit. (2 marks each) Given the differential equation y' = y+ x, which of the following statements are true? a) This differential equation has a unique solution on R with y(0) = 14. b) y'=y+arH+l1. c) If y\"(4) =3, then y'"(4) = 7. d) If y(0) = 1, then y(5) +z2. Which of the following statements are true? a) Assume that f(0) = 0. Using the partition P = {0,4,2,...,%,1} with Euler's method our estimate for f(+) would be 0.1. b) Assume that f(0) = 0. Using the partition P = {0, a 2, bees 2, 1} with Euler's method our estimate for f(+) would be 0.01. c) Assume that f(0) = 0. Then |f(5) f(4)| 4. d) Assume that f(0) = 0. Then |f(5) f(4)|