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Given the system of equations { x² 2 3xy + y² = A y2 x² + y² = B where A = 2 and B = 8 Find the third iteration value of y using the successive displacement method with initial guess of (0, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.

Given the system of equations { x² 2 3xy + y² = A y2 x² + y² = B where A = 2 and B = 8 Find the third iteration value of y using the successive displacement method with initial guess of (0, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.

Advanced Engineering Mathematics
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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Given the system of equations { x² 2 3xy + y² = A y2 x² + y² = B where A = 2 and B = 8 Find the third iteration value of y using the successive displacement method with initial guess of (0, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.
Transcribed Image Text:Given the system of equations { x² 2 3xy + y² = A y2 x² + y² = B where A = 2 and B = 8 Find the third iteration value of y using the successive displacement method with initial guess of (0, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.
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