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(D5 − 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯* + С3e* +C₁e²x cos3x +C5e²x sin3x y = C₁еx + C₂е¯* + C3е* +C4e²x cos3x +C5e²x sin3x A) O B) y = (C₁+C₂x + C3x²)e¯x +C₁e²x cos3x+C5e²x sin3x y = (C₁ + C₂ + C3)e-x +C₁е²x cos3x +C5e²x sin3x c) O D)

(D5 − 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯* + С3e* +C₁e²x cos3x +C5e²x sin3x y = C₁еx + C₂е¯* + C3е* +C4e²x cos3x +C5e²x sin3x A) O B) y = (C₁+C₂x + C3x²)e¯x +C₁e²x cos3x+C5e²x sin3x y = (C₁ + C₂ + C3)e-x +C₁е²x cos3x +C5e²x sin3x c) O D)

Advanced Engineering Mathematics
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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HODE: Nonhomogeneous-Undetermined Coefficients

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(D5 – 3D¹ + 8D³ + 16D² - 9D – 13)y = 0 - y = (C₁+C₂x)e-x + С3e* +C4e²x cos3x +C5e²x sin3x y = C₁e + C₂е¯* + C3e* +C4e²x cos3x +C5e²x sin3x A) B) y = (C₁ + C₂x + C3x²) e-x +C₁е²x cos3x +C5e²x sin3x y = (C₁ + C₂ + C3)e-* +C4e²x cos3x +C5e²x sin3x O D)
Transcribed Image Text:(D5 – 3D¹ + 8D³ + 16D² - 9D – 13)y = 0 - y = (C₁+C₂x)e-x + С3e* +C4e²x cos3x +C5e²x sin3x y = C₁e + C₂е¯* + C3e* +C4e²x cos3x +C5e²x sin3x A) B) y = (C₁ + C₂x + C3x²) e-x +C₁е²x cos3x +C5e²x sin3x y = (C₁ + C₂ + C3)e-* +C4e²x cos3x +C5e²x sin3x O D)
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