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Mathematics, 13.08.2019 03:20 lilpeepxliltracy
Consider the initial value problem dy dt = y + t y(0) = 0 (7) (a) approximate y(0.5) using euler’s method with stepsize ∆t = 0.25. (b) approximate y(0.5) using euler’s method with stepsize ∆t = 0.1. (c) find the exact solution of the differential equation and use it to compute the exact value of y(0.5). are the approximations from parts (a) and (b) over-approximating or under-approximating the value of y(0.5)? explain why this occurs.
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Consider the initial value problem dy dt = y + t y(0) = 0 (7) (a) approximate y(0.5) using e...
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