Exercise 4 The exact solution to y' = x - y, y(0) = 2 is y = x – 1+ 3e-2. (It's a linear equation.) Use your spreadsheet
Posted: Thu Feb 17, 2022 11:09 am
Exercise 5 = Imagine that you used Euler's method and improved Euler's method to approximate y(4), where y is the solution of an initial value problem y' = f(x,y), y(0) = a, and then reported the relative errors in the two approximations for different step sizes. Use what you know about the two methods to make your best guesses for the missing table values below. (Record 4 significant digits.) h rel. error Euler rel. error improved Euler 0.1 0.05 10.99% 9.330% 0.025 0.0125