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10. Let y = f(x) be the solution to the differential equation dy dx = x - y with initial condition f(2) = 8. What is the approximation for f(3) obtained by using Euler's method with two steps of equal length, starting at x = 2 ? (A) 2 (B) 572 15 54 (D) 61 4

10. Let y = f(x) be the solution to the differential equation dy dx = x - y with initial condition f(2) = 8. What is the approximation for f(3) obtained by using Euler's method with two steps of equal length, starting at x = 2 ? (A) 2 (B) 572 15 54 (D) 61 4

Calculus For The Life Sciences
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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10. Let y = f(x) be the solution to the differential equation dy dx = x - y with initial condition f(2) = 8. What is the approximation for f(3) obtained by using Euler's method with two steps of equal length, starting at x = 2 ? (A) 2 (B) 572 15 54 (D) 61 4
Transcribed Image Text:10. Let y = f(x) be the solution to the differential equation dy dx = x - y with initial condition f(2) = 8. What is the approximation for f(3) obtained by using Euler's method with two steps of equal length, starting at x = 2 ? (A) 2 (B) 572 15 54 (D) 61 4
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