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Question 1 25 pts Use Euler's method with n = 4 steps to determine the approximate value of y(4), given that y(3) = 1.88 and
Question 1 25 pts Use Euler's method with n = 4 steps to determine the approximate value of y(4), given that y(3) = 1.88 and that y(x) satisfies the following differential equation. Express your answer as a decimal correct to within + 0.005. dy = xy dx Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.) Question 2 25 pts Use Euler's method with n = 4 steps to determine the approximate value of y(6), given that y(3) = 1.88 and that y(x) satisfies the following differential equation. Express your answer as a decimal correct to within + 0.005. dy = In(x + y) dx Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)With Euler's method, the larger the value of it He. the step size)... 0 the larger the nal approximation will be in magnitude. 0 the smaller the nal approximation will be in magnitude. 0 the more accurate the approximation will likely be. 0 the less accurate the approximation will likely be. When using Euler's method, you are likely to get a more accurate answer if you... 0 decrease the number of steps in / decrease the step size h. 0 increase the number of steps in f increase the step size h. 0 increase the number of steps in / decrease the step size 31. 0 decrease the number of steps in I increase the step size h
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