Mathematic Methods HW Solutions 41

Mathematic Methods HW Solutions 41 - Chapter 8 41 3.13 x =...

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Unformatted text preview: Chapter 8 41 3.13 x = 1 2 e y + Ce- y 3.14 x = y 2 / 3 + Cy- 1 / 3 3.15 S = 1 2 10 7 bracketleftbig (1 + 3 t/ 10 4 ) + (1 + 3 t/ 10 4 )- 1 / 3 bracketrightbig , where S = number of pounds of salt, and t is in hours. 3.16 I = Ae- Rt/L + V ( R 2 + 2 L 2 )- 1 ( R cos t + L sin t ) 3.17 I = Ae- t/ ( RC )- V C (sin t- RC cos t ) / (1 + 2 R 2 C 2 ) 3.18 RL circuit: I = Ae- Rt/L + V ( R + iL )- 1 e it RC circuit: I = Ae- t/RC + iV C (1 + iRC )- 1 e it 3.19 N 2 = N te- t 3.20 N 3 = c 1 e- 1 t + c 2 e- 2 t + c 3 e- 3 t , where c 1 = 1 2 N ( 2- 1 )( 3- 1 ) , c 2 = 1 2 N ( 1- 2 )( 3- 2 ) , c 3 = 1 2 N ( 1- 3 )( 2- 3 ) 3.21 N n = c 1 e- 1 t + c 2 e- 2 t + , where c 1 = 1 2 ... n- 1 N ( 2- 1 )( 3- 1 ) ... ( n- 1 ) , c 2 = 1 2 ... n- 1 N ( 1- 2 )( 3- 2 ) ... ( n- 2 ) , etc . (all prime s different)....
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This note was uploaded on 02/29/2012 for the course MHF 2312 taught by Professor Dr.chet during the Fall '11 term at UNF.

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