(a) Use Euler's method with step size 0.2 to estimate y(2.4), where y(x) is the solution of the initial-value problem y' = 2x − 3xy, y(2) = 0. (Round your answer to four decimal places.) y(2.4) = (b) Repeat part (a) with step size 0.1. (Round your answer to four decimal places.) y(2.4) =

(a) Use Euler's method with step size 0.2 to estimate y(2.4), where y(x) is the solution of the initial-value problem y' = 2x − 3xy, y(2) = 0. (Round your answer to four decimal places.) y(2.4) = (b) Repeat part (a) with step size 0.1. (Round your answer to four decimal places.) y(2.4) =

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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Question

(a) Use Euler's method with step size 0.2 to estimate

y(2.4),

where

y(x)

is the solution of the initial-value problem

y' = 2x − 3xy, y(2) = 0.

(Round your answer to four decimal places.)

y(2.4) =

(b) Repeat part (a) with step size 0.1. (Round your answer to four decimal places.)

y(2.4) =

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