Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1. Next, solve the differential equation and find the indicated function value to 3 decimal places. Compare the result with the approximation. dy = 2xy; y(1) = 4; find y(1.6) dx Approximating y(1.6) with Euler's method gives. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)
Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1. Next, solve the differential equation and find the indicated function value to 3 decimal places. Compare the result with the approximation. dy = 2xy; y(1) = 4; find y(1.6) dx Approximating y(1.6) with Euler's method gives. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)
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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
Transcribed Image Text:Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1. Next, solve the differential equation and find the indicated function value to 3 decimal places. Compare the result
with the approximation.
dy
= 2xy; y(1) = 4; find y(1.6)
dx
Approximating y(1.6) with Euler's method gives.
(Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)
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