Which of the following equations describes the partial fraction decomposition of a rational function of the x²+2x+3 form (x − 1)² (x − 2)(x²+4)* - - x²+2x+3 (x 1)2(x-2) (x² +4) - x²+2x+3 (x-1)2(x-2)(x² +4) x²+2x+3 (x-1)2(x-2)(x²+4) x²+2x+3 (x 1)2(x-2) (x² +4) - x²+2x+3 (x-1)2(x-2)(x²+4) ? - A Bx + C D E = + + + Ꮖ 1 (x-1)2 2 2 +4 A B C D = + + + x- 1 (x-1)2 Ꮖ 2 2 +4 A B C Dx + E + + + x² +4 A B C Dx = + + + x 1 (x-1)2 Ꮖ 2 2 +4 A Вх C Dx + E = + + + x- 1 (x - 1)² Ꮖ 2 x² +4 = Ꮖ 1 (x-1)² Ꮖ 2 - -
Which of the following equations describes the partial fraction decomposition of a rational function of the x²+2x+3 form (x − 1)² (x − 2)(x²+4)* - - x²+2x+3 (x 1)2(x-2) (x² +4) - x²+2x+3 (x-1)2(x-2)(x² +4) x²+2x+3 (x-1)2(x-2)(x²+4) x²+2x+3 (x 1)2(x-2) (x² +4) - x²+2x+3 (x-1)2(x-2)(x²+4) ? - A Bx + C D E = + + + Ꮖ 1 (x-1)2 2 2 +4 A B C D = + + + x- 1 (x-1)2 Ꮖ 2 2 +4 A B C Dx + E + + + x² +4 A B C Dx = + + + x 1 (x-1)2 Ꮖ 2 2 +4 A Вх C Dx + E = + + + x- 1 (x - 1)² Ꮖ 2 x² +4 = Ꮖ 1 (x-1)² Ꮖ 2 - -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Which of the following equations describes the partial fraction decomposition of a rational function of the
x²+2x+3
form
(x − 1)² (x − 2)(x²+4)*
- -
x²+2x+3
(x 1)2(x-2) (x² +4)
-
x²+2x+3
(x-1)2(x-2)(x² +4)
x²+2x+3
(x-1)2(x-2)(x²+4)
x²+2x+3
(x 1)2(x-2) (x² +4)
-
x²+2x+3
(x-1)2(x-2)(x²+4)
?
-
A
Bx + C
D
E
=
+
+
+
Ꮖ 1
(x-1)2
2
2 +4
A
B
C
D
=
+
+
+
x- 1
(x-1)2
Ꮖ 2
2 +4
A
B
C
Dx + E
+
+
+
x² +4
A
B
C
Dx
=
+
+
+
x 1
(x-1)2
Ꮖ
2
2 +4
A
Вх
C
Dx + E
=
+
+
+
x- 1
(x - 1)²
Ꮖ 2
x² +4
=
Ꮖ 1 (x-1)² Ꮖ 2
-
-
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