Find the exact solution of the initial-value problem

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Reference no: EM131080928

Denote the Euler-method solution of the initial value problem

using step size h = 0.1 by Xa(t), and that using h = 0.05 by Xb(t). Find the values of Xa(2) and Xb(2). Estimate the error in the value of Xb(2), and suggest a value of step size that would provide a value of X(2) accurate to 0.1%. Find the value of X(2) using this step size. Find the exact solution of the initial-value problem, and determine the actual magnitude of the errors in Xa(2), Xb(2) and your final value of X(2).

Reference no: EM131080928

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