Consider the differential equation y' = = −x = y. Use Euler's method with Ax = 0.1 to estimate y when x = solution curve satisfying y(1) 1 Euler's approximation gives y(1.4) ≈ 1.4 for the 1 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) ≈ A

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 22E
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Consider the differential equation y' =
= −x = y.
Use Euler's method with Ax = 0.1 to estimate y when x =
solution curve satisfying
y(1) 1 Euler's approximation gives y(1.4) ≈
1.4 for the
1
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) ≈
A
Transcribed Image Text:Consider the differential equation y' = = −x = y. Use Euler's method with Ax = 0.1 to estimate y when x = solution curve satisfying y(1) 1 Euler's approximation gives y(1.4) ≈ 1.4 for the 1 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) ≈ A
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