ChEn2001 HW1

# ChEn2001 HW1 - dx dt = x sin t x(0 = 2(5 Problem 4 Solve...

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ChEn 2001, Homework #1 Due Friday, September 11, 2009 To receive full credit for these problems, you must show all of your work (matrix method, integration by parts, balance equations for the chemical reaction). Problem 1. Solve the following system of equations by Gauss elimination. 2 x + 3 y - z = 7 (1) x + y + z = 10 (2) 3 x - 2 y + 2 z = 15 (3) Problem 2. Solve the differential equation dx dt = 3 t, x (0) = 0 (4) Problem 3. Solve the differential equation
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Unformatted text preview: dx dt = x sin t, x (0) = 2 (5) Problem 4. Solve the diﬀerential equation dx dt + 5 x = t, x (0) = 1 (6) Problem 5. Use a set of linear equations to balance the following reaction: Fe(OH) 3 + H 2 SO 4 → Fe 2 (SO 4 ) 3 + H 2 O. Problem 6. Use a set of linear equations to balance the following reaction: Al + NH 4 ClO 4 → Al 2 O 3 + AlCl 3 + NO + H 2 O 1...
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