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Q1) Solve the following system of linear equations using Gauss-Elimination method, x + 5y – z = 10 4x + 2y + z = 14 x + y+ 8z = 20

Q1) Solve the following system of linear equations using Gauss-Elimination method, x + 5y – z = 10 4x + 2y + z = 14 x + y+ 8z = 20

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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Q1) Solve the following system of linear equations using Gauss-Elimination method, x + 5y – z = 10 4x + 2y + z = 14 x +y + 8z = 20 Q2) A. Use the Newton-Raphson method to find the roots of equation cos x = x correct to 4 decimal places. B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal places, using four intervals rz sin 2x dx Q3) A. Evaluate the following complex integral function, z2+8 Pc 0,5Z-1.5 dz, where the curve C, is x2 + y2 = 9 B. Classify the following differential equations according to have an ordinary singular (regular or irregular) points x²y\\ + (x – 1)²y\ + xy = 0
Transcribed Image Text:Q1) Solve the following system of linear equations using Gauss-Elimination method, x + 5y – z = 10 4x + 2y + z = 14 x +y + 8z = 20 Q2) A. Use the Newton-Raphson method to find the roots of equation cos x = x correct to 4 decimal places. B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal places, using four intervals rz sin 2x dx Q3) A. Evaluate the following complex integral function, z2+8 Pc 0,5Z-1.5 dz, where the curve C, is x2 + y2 = 9 B. Classify the following differential equations according to have an ordinary singular (regular or irregular) points x²y\\ + (x – 1)²y\ + xy = 0
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