Question: QUESTION 6 3 points Save Answer Consider the differential equation given by y'= 1-x+y, y (4) = 2. Using a step size of 0.1, approximate

QUESTION 6 3 points Save Answer Consider the differential equation given by y'= 1-x+y, y (4) = 2. Using a step size of 0.1, approximate the value of y (4. 1) via Taylor-series methods of the following orders. Be able to show work to justify your answers. Round answers to 4 decimal places when needed. a) Order 1, y ( 4.1) ~ b) Order 2, y ( 4.1) ~ c) Order 3, y ( 4.1) ~ QUESTION 7 2 points Save Answer Consider the differential equation given by y'=x2+ xy, y(1) = 3. Using a step size of 0.1, approximate the value of y ( 1.1) via Taylor-series methods of the following orders. Be able to show work to justify your answers. Do not round your answers. a) Order 1, y ( 1.1) ~ b) Order 2, y ( 1.1) ~

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