Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -3y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-3t

A. y(1) ? 0.01024; 0.20000
B. y(1) ? 0.01024; 0.04979
C. y(1) ? 0.02560; 0.02419
D. y(1) ? 0.01024; 0.03955


Answer: D

Mathematics

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