Find the solution to the given homogeneous linear ODE. (4D5-23D³-33D²-17D-3)y=0 - 3x y=e¯³ (C₁+C₁₂x) + C₂e¯³x + (C ₂+ С g.x) e +C © y=e¯`(C₁+C₂x) +C₂e³+ (C₂+C;¸x) = ²x ? e 3x © y=e¯¹ (C₁+C₂x) + C₂e³+ (C₂+C_{x}e ² ² ze ○y=e*(C₁₂+C₂x) + C₂e³x + (C₁+Cx) e 3.x 3

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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Find the solution to the given homogeneous linear ODE.
(4D5 – 23D³ –
33D²-17D-3)y=0
-X
-3.x
y=e~²³ (C₁₂ + C₂x) + C₁₂e¯³⁰ + (C₁+C¸x) e
3x
TỈN
3x
Oy=e*(C₁+C₂x) + Ce ³+ (C₁+Cx) e
с
© y=e˜˜(C₁+C₂x)
+C¸e³+ (C₂+C¸x) e ² +
○_y=e*(C₁+C₂x) + C₂e³x + (C ₂+ С¸x) e
X
Transcribed Image Text:Find the solution to the given homogeneous linear ODE. (4D5 – 23D³ – 33D²-17D-3)y=0 -X -3.x y=e~²³ (C₁₂ + C₂x) + C₁₂e¯³⁰ + (C₁+C¸x) e 3x TỈN 3x Oy=e*(C₁+C₂x) + Ce ³+ (C₁+Cx) e с © y=e˜˜(C₁+C₂x) +C¸e³+ (C₂+C¸x) e ² + ○_y=e*(C₁+C₂x) + C₂e³x + (C ₂+ С¸x) e X
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