Thermodynamics HW Solutions 433

# Thermodynamics HW Solutions 433 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-40 Using an equation solver or an iteration method, the solutions of the following systems of algebraic equations are determined to be as follows: ( a ) 33 23 22 12 3 3 123 xx x xx x xxx −+ = −+ + = −−= 0 2 6 Solution : x 1 =2, x 2 =3, x 3 =1 ( b ) 3 964 . 11 2 5 . 0 2 4 3 2 1 3 2 3 1 3 2 2 1 = + + = + = + x x x x x x x x x Solution : x 1 =2.532, x 2 =2.364, x 3 =-1.896 "ANALYSIS" "(a)" 3*x_1a-x_2a+3*x_3a=0 -x_1a+2*x_2a+x_3a=3 2*x_1a-x_2a-x_3a=2 "(b)" 4*x_1b-2*x_2b^2+0.5*x_3b=-2 x_1b^3-x_2b+-x_3b=11.964 x_1b+x_2b+x_3b=3 5-41 Using an equation solver or an iteration method, the solutions of the following systems of algebraic equations are determined
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