Mathematic Methods HW Solutions 56

Mathematic Methods HW Solutions 56 - Chapter 12 56 10.4 sin...

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Unformatted text preview: Chapter 12 56 10.4 sin θ 10.5 sin θ (35 cos 3 θ- 15 cos θ ) / 2 10.6 15 sin 2 θ cos θ 11.1 y = b cos x/x 2 11.2 y = Ax- 3 + Bx 3 11.3 y = Ax- 3 + Bx 2 11.4 y = Ax- 2 + Bx 3 11.5 y = A cos(2 x 1 / 2 ) + B sin(2 x 1 / 2 ) 11.6 y = Ae- x + Bx 2 / 3 [1- 3 x/ 5 + (3 x ) 2 / (5 · 8)- (3 x ) 3 / (5 · 8 · 11) + ··· ] 11.7 y = Ax 2 (1 + x 2 / 10 + x 4 / 280 + ··· ) + Bx- 1 (1- x 2 / 2- x 4 / 8- ··· ) 11.8 y = A ( x- 1- 1) + Bx 2 (1- x + 3 x 2 / 5- 4 x 3 / 15 + 2 x 4 / 21 + ··· ) 11.9 y = A (1- 3 x 6 / 8 + 9 x 12 / 320- ··· ) + Bx 2 (1- 3 x 6 / 16 + 9 x 12 / 896- ··· ) 11.10 y = A [1 + 2 x- (2 x ) 2 / 2! + (2 x ) 3 / (3 · 3!)- (2 x ) 4 / (3 · 5 · 4!) + ··· ] + Bx 3 / 2 [1- 2 x/ 5 + (2 x ) 2 / (5 · 7 · 2!)- (2 x ) 3 / (5 · 7 · 9 · 3!) + ··· ] 11.11 y = Ax 1 / 6 [1 + 3 x 2 / 2 5 + 3 2 x 4 / (5 · 2 10 ) + ··· ] + Bx- 1 / 6 [ x + 3 x 3 / 2 6 + 3 2 x 5 / (7 · 2 11 ) + ··· ] 11.12 y = e x ( A + Bx 1 / 3 ) 15.9 5- 3 / 2 16.1 y = x- 3 / 2 Z 1 / 2 ( x ) 16.216....
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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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