Find the exact solution of the initial-value problem

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Reference no: EM131080939

Denote the Euler-method solution of the initial value problem

using step size h = 0.05 by Xa(t), and that using h = 0.025 by Xb(t). Find the values of Xa(1.5) and Xb(1.5). Estimate the error in the value of Xb(1.5), and suggest a value of step size that would provide a value of X(1.5) accurate to 0.25%. Find the value of X(1.5) using this step size. Find the exact solution of the initial-value problem, and determine the actual magnitude of the errors in Xa(1.5), Xb(1.5) and your final value of X(1.5).

Reference no: EM131080939

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Find the exact solution of the initial-value problem : Find the exact solution of the initial-value problem

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