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