Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁ + ₂ - ²x (c₂ + c ₂x + c ₂ x ² + c _x³) 2 3 2 y=e² (c₁ + c₂ + c₂x+c√₂x² + c_x³) 1 2 3 -2x ² y=e²¹ (c₂₁+c₂x) + e¯²³ (C3) C3 + c_x) -2x 2x * ( c₂ + c ₂ x + c¸ x ²) + c e е 1 y=e=²x (c₁

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.12: Solving Equations By Factoring
Problem 50WE
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Question
Determine the general/particular solution (whichever applies):
(D4+8D³ +24D²+32D+16) y=0
○y=e-²x (c₁ +
₂ - ²x (c₂ + c ₂x + c ₂ x ² + c _x³)
2
3
2 y=e² (c₁ + c₂
+ c₂x+c√₂x² + c_x³)
1 2 3
-2x
² y=e²¹ (c₂₁+c₂x) + e¯²³ (C3)
C3 + c_x)
-2x
2x
* ( c₂ + c ₂ x + c¸ x ²) + c e
е
1
y=e=²x (c₁
Transcribed Image Text:Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁ + ₂ - ²x (c₂ + c ₂x + c ₂ x ² + c _x³) 2 3 2 y=e² (c₁ + c₂ + c₂x+c√₂x² + c_x³) 1 2 3 -2x ² y=e²¹ (c₂₁+c₂x) + e¯²³ (C3) C3 + c_x) -2x 2x * ( c₂ + c ₂ x + c¸ x ²) + c e е 1 y=e=²x (c₁
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