AE: GS: PS: m²³_6m² +9m =0 m(m² -com +9)=0 m (m-3)² = 0 M=O (M= 3) (2x) 3x y = a + c₂₂e²³² +₂e² Dy = 36₂e³* + C²₁₂ (3x²²³x + ³x) 3x D³y = 96₂e³x + C₂ y (0)=0 =D₁ (0)=2 D³y (0) = -6 ² + C₂ [(3 ( ³x e ³* + e²x) + 3 e³x] x · D=G+C₂ 2= 30₂ + C₂ 3x D³²y = 96₂ 0²³* + 6630²³² + 903 xe ²³* →→→→-6 = 96₂ +6C3 3x C₁ = = 2 C₂=2 C3₂=-4 3X y = - 2 +2e³x = $xe³x зу

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Can you please explain how the values of (C1 = -2) , (C2 = 2) , (C3 = -4) where obtained? Thank you.

AE:
GS:
PS:
m²³³_6m² +9m =0
m(m³-com +9) =0
m (m - 3)² = 0
M-D
(M= 3) (2x)
31
3x
y = a + c₂₂e² + ₂e
Dy = 36₂0²³x + C²₂₂ (3x6³x + ³x)
96₂²³+ C₂ [(3 (³xe³+ ²) + ³e³*]
D³y =
3X
y = - 2 + 20³x
Ủy qể tế tạc, xe-6-4, 6,
+
C₁ = = 2
C₂ = 2
C3=-4
trẻ
y(0)=0
Dy (0)=2
D³y (0) = -6
3x
D=G+C₂
2= 30₂ + C₂
=
Transcribed Image Text:AE: GS: PS: m²³³_6m² +9m =0 m(m³-com +9) =0 m (m - 3)² = 0 M-D (M= 3) (2x) 31 3x y = a + c₂₂e² + ₂e Dy = 36₂0²³x + C²₂₂ (3x6³x + ³x) 96₂²³+ C₂ [(3 (³xe³+ ²) + ³e³*] D³y = 3X y = - 2 + 20³x Ủy qể tế tạc, xe-6-4, 6, + C₁ = = 2 C₂ = 2 C3=-4 trẻ y(0)=0 Dy (0)=2 D³y (0) = -6 3x D=G+C₂ 2= 30₂ + C₂ =
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