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Solve the differential equation t dy dt 1 y(0)=1 by the Euler method with h=0.1 to get y(0.2). Then repeat with h=0.2 to get another estimate of y(0.2). Extrapolate these results assuming that errors are proportional to step-size, and compare the derived result to the analytical result.

Solve the differential equation t dy dt 1 y(0)=1 by the Euler method with h=0.1 to get y(0.2). Then repeat with h=0.2 to get another estimate of y(0.2). Extrapolate these results assuming that errors are proportional to step-size, and compare the derived result to the analytical result.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Solve the differential equation dy y(0)=1 y' by the Euler method with h=0.1 to get y(0.2). Then repeat with h=0.2 to get another estimate of y(0.2). Extrapolate these results assuming that errors are proportional to step-size, and compare the derived result to the analytical result. dt
Transcribed Image Text:4. Solve the differential equation dy y(0)=1 y' by the Euler method with h=0.1 to get y(0.2). Then repeat with h=0.2 to get another estimate of y(0.2). Extrapolate these results assuming that errors are proportional to step-size, and compare the derived result to the analytical result. dt
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