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Given the system of equations In (3x) +In (x +2y) = A { In (4x +y) +In (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) 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 In (3x) +In (x +2y) = A { In (4x +y) +In (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations.

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 In (3x) +ln (x +2y) = A { In (4x +y) +ln (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations.
Transcribed Image Text:Given the system of equations In (3x) +ln (x +2y) = A { In (4x +y) +ln (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations.
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