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13 Nov 2019
- MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork/math102-all 2017w1/ assignment 11/6 Assignment 11: Problem 6 Previous Problem List Next 2 points) Consider the differential equation dy 5x dx with Initlal condition yO) - 3. A. Use Euler's method with two steps to estimate y when x = 1 : (1) 6.75 Be sure not to round your calculations at each step) Now use four steps: y(1)6.125 Be sure not to round your calculations at each step) B. What is the solution to this differential equation (with the given initial condition)? C. What is the magnitude of the eror in the two Euler approximations you found? Magnitude of error in Euler with 2 steps Magnitude of error in Euler with 4 steps = Note that in this example, the right hand side of the differential equation is a function of the independent variable x instead of the dependent variable y. Nonetheless, you can apply Euler's method in the similar way here. Note: You can earn partial credit on this problem Preview My Answers Submit Answers MacBook Air
- MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork/math102-all 2017w1/ assignment 11/6 Assignment 11: Problem 6 Previous Problem List Next 2 points) Consider the differential equation dy 5x dx with Initlal condition yO) - 3. A. Use Euler's method with two steps to estimate y when x = 1 : (1) 6.75 Be sure not to round your calculations at each step) Now use four steps: y(1)6.125 Be sure not to round your calculations at each step) B. What is the solution to this differential equation (with the given initial condition)? C. What is the magnitude of the eror in the two Euler approximations you found? Magnitude of error in Euler with 2 steps Magnitude of error in Euler with 4 steps = Note that in this example, the right hand side of the differential equation is a function of the independent variable x instead of the dependent variable y. Nonetheless, you can apply Euler's method in the similar way here. Note: You can earn partial credit on this problem Preview My Answers Submit Answers MacBook Air
Hubert KochLv2
14 Feb 2019