Thermodynamics HW Solutions 434

Thermodynamics HW Solutions 434 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-42 Using an equation solver or an iteration method, the solutions of the following systems of algebraic equations are determined to be as follows: ( a ) 2 3 4 2 5 5 2 1 4 3 6 2 4 4 3 2 4 2 1 4 3 2 1 4 3 2 1 = = + + = + + = + + x x x x x x x x x x x x x x Solution : x 1 =-0.744, x 2 =-8, x 3 =-7.54, x 4 = 4.05 ( b ) 22 422 51 38 12 4 34 1 2 23 2 4 4 3 13 2 4 xx xx xxxx xx x +− += ++−= −+ + = −+ = 1 3 0 1 5 Solution
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