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Show that the solution of the initial-value problem dy 4 = dt t is y(t): = t6 y - 6ty²; y(1) = 2 1 2 Use Explicit Euler's and Improved Euler (Heun) methods to compute y(1.3) numerically and calculate the %RE values to compare the numerical methods.

Show that the solution of the initial-value problem dy 4 = dt t is y(t): = t6 y - 6ty²; y(1) = 2 1 2 Use Explicit Euler's and Improved Euler (Heun) methods to compute y(1.3) numerically and calculate the %RE values to compare the numerical methods.

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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Show that the solution of the initial-value problem dy 4 = dt is y(t) = y - 6ty²; y(1) = 2 t t4 t6 1 2 Use Explicit Euler's and Improved Euler (Heun) methods to compute y(1.3) numerically and calculate the %RE values to compare the numerical methods.
Transcribed Image Text:Show that the solution of the initial-value problem dy 4 = dt is y(t) = y - 6ty²; y(1) = 2 t t4 t6 1 2 Use Explicit Euler's and Improved Euler (Heun) methods to compute y(1.3) numerically and calculate the %RE values to compare the numerical methods.
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