Q1) Solve the following system of linear equations using Gauss-Elimination method,x + 5y – z = 104x + 2y + z = 14x +y + 8z = 20Q2) A. Use the Newton-Raphson method to find the roots of equation cos x = x correct to 4decimal places.B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3decimal places, using four intervalsrz sin 2xdxQ3) A. Evaluate the following complex integral function,z2+8Pc 0,5Z-1.5dz, where the curve C, is x2 + y2 = 9B. Classify the following differential equations according to have an ordinary singular(regular or irregular) pointsx²y\\ + (x – 1)²y\ + xy = 0

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Answered: Q1) Solve the following system of…

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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