Question: Denote Eulers 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

Denote Euler’s method solution of the initial-value problem

I = (1)x xt 1 P xp

using step size h = 0.1 by Xa(t), and that using h = 0.05 by Xb(t). Find the values of X_a(2) and X_b(2). Estimate the error in the value of X_b(2), and suggest a value of step size that would provide a value of X(2) accurate to 0.2%. 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 X_a(2), X_b(2) and your final value of X(2).

I = (1)x xt 1 P xp

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The programs in Q41 may readily be modified to solve this problem Estimates Xa2 1573 065 and X2 1558 ... View full answer

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