(a) Use Euler's method with step size 0.2 to estimate y(0.6), where y(x) is the solution of the initial-value problem y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.) (b) Use Euler's method with step size 0.1 to estimate y(0.6), where y(x) is the solution of the initial-value problem y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.)

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.CR: Chapter 11 Review
Problem 34CR
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Solve the following 

 

(a) Use Euler's method with step size 0.2 to estimate y(0.6), where y(x) is the solution of the initial-value problem
y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.)
(b) Use Euler's method with step size 0.1 to estimate y(0.6), where y(x) is the solution of the initial-value problem
y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.)
Transcribed Image Text:(a) Use Euler's method with step size 0.2 to estimate y(0.6), where y(x) is the solution of the initial-value problem y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.) (b) Use Euler's method with step size 0.1 to estimate y(0.6), where y(x) is the solution of the initial-value problem y' = 8 cos(x + y), y(0) = 0. (Round your final answer to four decimal places.)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,