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2. (Improved Euler’s Method ) Second, work out the first three steps by hand. Then approximate...

2. (Improved Euler’s Method ) Second, work out the first three steps by hand. Then approximate y(2) for each of the initial value problems using Improved Euler’s method, first with a step size of h = .1 and then with a step size of h = .05 using the Excel spreadsheet. (a) dy dx = 2xy, y(0) = 1 (b) dy dx = x − y x + 2y , y(0) = 1 (c) dy dx = y + x, y(0) = 1 ignore the excell portion

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