Given (D2 – 9)y = 2x + 3 e2* – sin x . Using variation of parameters, which of the following systems of equations are correct? f'e* + 8'e¯ = 0 A f"ex + g"e-3* = 2x + 3e2* – sin x f e3x + g e = 0 3f'e* – 3 g'e-* = 2x + 3e2* – sin x – 3x %3D B - 3x %3D f'ex + g'e=3* = 0 3 f ex – 3 g e-3* = 2x +3e2* – sin x f'ex + g'e-3« = 0 %3D 3 f'ex – 3 g'e-3* = 2x +3e2* – sin x Ξ21 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given (D2 – 9)y = 2x + 3 e2* – sin x .
Using variation of parameters, which of the following systems of equations are correct?
f'e* + 8'e¯
= 0
A
f"e* + 8"e
= 2x + 3e2x – sin x
- 3x
+ g e
= 0
B
3f'e*
3 g'e
- 3x
= 2x + 3e2* – sin x
f'ex + g'e=3* = 0
3 f e3x
– 3x
ge
= 2x + 3e 2* – sin x
3
= 0
3 f'ex – 3 g'e-3* = 2x +3e2* – sin x
Transcribed Image Text:Given (D2 – 9)y = 2x + 3 e2* – sin x . Using variation of parameters, which of the following systems of equations are correct? f'e* + 8'e¯ = 0 A f"e* + 8"e = 2x + 3e2x – sin x - 3x + g e = 0 B 3f'e* 3 g'e - 3x = 2x + 3e2* – sin x f'ex + g'e=3* = 0 3 f e3x – 3x ge = 2x + 3e 2* – sin x 3 = 0 3 f'ex – 3 g'e-3* = 2x +3e2* – sin x
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