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1. Consider the following ODE initial value problem: y" - siny - cost = 0, y(0) = 1, y'(0) = -1. Approximate y(1) using the fourth-order Runge-Kutta method with step- size h = 0.5.

1. Consider the following ODE initial value problem: y" - siny - cost = 0, y(0) = 1, y'(0) = -1. Approximate y(1) using the fourth-order Runge-Kutta method with step- size h = 0.5.

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.CR: Chapter 11 Review
Problem 15CR
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1. Consider the following ODE initial value problem: y" - siny - cost = 0, y(0) = 1, y'(0) = -1. Approximate y(1) using the fourth-order Runge-Kutta method with step- size h = 0.5.
Transcribed Image Text:1. Consider the following ODE initial value problem: y" - siny - cost = 0, y(0) = 1, y'(0) = -1. Approximate y(1) using the fourth-order Runge-Kutta method with step- size h = 0.5.
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