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Consider the differential equation y'= -x - y. Use Euler's method with Ax = 0.1 to estimate y when x = 1.4 for the solution curve satisfying y(1) 1: Euler's approximation gives y(1.4)~ Use Euler's method with Ax = 0.1 to estimate y when x = 2.4 for the solution curve satisfying y(1) = 0: Euler's approximation gives y(2.4)~

Consider the differential equation y'= -x - y. Use Euler's method with Ax = 0.1 to estimate y when x = 1.4 for the solution curve satisfying y(1) 1: Euler's approximation gives y(1.4)~ Use Euler's method with Ax = 0.1 to estimate y when x = 2.4 for the solution curve satisfying y(1) = 0: Euler's approximation gives y(2.4)~

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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Consider the differential equation y'= -x - y. Use Euler's method with Ax = 0.1 to estimate y when x = 1.4 for the solution curve satisfying y(1) 1: Euler's approximation gives y(1.4)~ = Use Euler's method with Ax = 0.1 to estimate y when x = 2.4 for the solution curve satisfying y(1) = 0 : Euler's approximation gives y(2.4)~
Transcribed Image Text:Consider the differential equation y'= -x - y. Use Euler's method with Ax = 0.1 to estimate y when x = 1.4 for the solution curve satisfying y(1) 1: Euler's approximation gives y(1.4)~ = Use Euler's method with Ax = 0.1 to estimate y when x = 2.4 for the solution curve satisfying y(1) = 0 : Euler's approximation gives y(2.4)~
Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the initial-value problem y = -5x + y², y(0) = 0. y(2) =
Transcribed Image Text:Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the initial-value problem y = -5x + y², y(0) = 0. y(2) =
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