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Find the solution of the initial-value problem. [y " – 3y " -y'+ 3y=0,y(0) = -5,y '(0) = 3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. a) O y--* 3 15 1 3x e 4 e - e 4 15 3x 3 e + -X b) O = - e 3 15 e 4 1 3x 2 3 15 e + 4 1 d) O y=-e+ e*+ 3x 4 3 15 1 3x -X e f O None of the above.

Find the solution of the initial-value problem. [y " – 3y " -y'+ 3y=0,y(0) = -5,y '(0) = 3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. a) O y--* 3 15 1 3x e 4 e - e 4 15 3x 3 e + -X b) O = - e 3 15 e 4 1 3x 2 3 15 e + 4 1 d) O y=-e+ e*+ 3x 4 3 15 1 3x -X e f O None of the above.

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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Find the solution of the initial-value problem. Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. 3 15 e". 4 1 O y=-e*+ 3x e 4 y = 15 3x b) O y=- 3 + -X e e 4 - 15 e 4 3x e 4 c) e 2 + d) O y=- 15 + 4 3x e 4 -X + e 3 e 2 15 1 e) -x e 4 3x e 4 f) O None of the above.
Transcribed Image Text:Find the solution of the initial-value problem. Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. 3 15 e". 4 1 O y=-e*+ 3x e 4 y = 15 3x b) O y=- 3 + -X e e 4 - 15 e 4 3x e 4 c) e 2 + d) O y=- 15 + 4 3x e 4 -X + e 3 e 2 15 1 e) -x e 4 3x e 4 f) O None of the above.
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