Q2/ Consider the initial value problem y' = x + y - 1 „y(0) = 1. (A) Use the Runge-Kutta method with h = 0.2 to find the starting values and approximate y(0.8) (B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an appr0ximation to y(0.8). (C) compare the approximation of y(0.8) in (A) and (B) with the value of the exact solution at y(0.8).
Q2/ Consider the initial value problem y' = x + y - 1 „y(0) = 1. (A) Use the Runge-Kutta method with h = 0.2 to find the starting values and approximate y(0.8) (B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an appr0ximation to y(0.8). (C) compare the approximation of y(0.8) in (A) and (B) with the value of the exact solution at y(0.8).
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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This question is in the decision of numerical solutions of differential equations
![Q2/ Consider the initial value problem y' = x +y – 1
„y(0) = 1.
(A) Use the Runge-Kutta method with h = 0.2 to find the starting values and approximate y(0.8)
(B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an appr0ximation to y(0.8).
(C) compare the approximation of y(0.8) in (A) and (B) with the value of the exact solution at y(0.8).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb45f4470-e098-4a07-b340-0e164f109351%2F5ae85058-f6e2-4e2d-8c40-6eaa2061fefd%2Fd5vo9xp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2/ Consider the initial value problem y' = x +y – 1
„y(0) = 1.
(A) Use the Runge-Kutta method with h = 0.2 to find the starting values and approximate y(0.8)
(B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an appr0ximation to y(0.8).
(C) compare the approximation of y(0.8) in (A) and (B) with the value of the exact solution at y(0.8).
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