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Use Laplace Transforms to solve the initial value problem [y'+3y=f(x),y(0) =0] where 0Sx and x < f(x) = 4 23x -3x 2 0

Use Laplace Transforms to solve the initial value problem [y'+3y=f(x),y(0) =0] where 0Sx and x < f(x) = 4 23x -3x 2 0

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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Use Laplace Transforms to solve the initial value problem [y'+3y=f(x),y(0) =0] where O<x and x << 2 f(x) = 4 23x -3x 2 0<x and x <2 3 a) O y(x) = 2 4 2 6-3x -3x + 3 2 <x - -3x 2 + O<x and x << 2 e b) O y(x) = 4 2 -3x + e 3 6-3x e 3 2 <x -3x 2 0<x and x < 2 3 c) O y(x) = 6- 3x -3x e 3 2 3x 3 2 -3% e O<x and x <2 - d) O y(x) = 2 -3x + 6-3x 2 e 2 <x -3x 2 0 <x and x < 2 e) O y(x) = 2 -3x 4 2 6-3x e 3 2 3x f) None of the above.
Transcribed Image Text:Use Laplace Transforms to solve the initial value problem [y'+3y=f(x),y(0) =0] where O<x and x << 2 f(x) = 4 23x -3x 2 0<x and x <2 3 a) O y(x) = 2 4 2 6-3x -3x + 3 2 <x - -3x 2 + O<x and x << 2 e b) O y(x) = 4 2 -3x + e 3 6-3x e 3 2 <x -3x 2 0<x and x < 2 3 c) O y(x) = 6- 3x -3x e 3 2 3x 3 2 -3% e O<x and x <2 - d) O y(x) = 2 -3x + 6-3x 2 e 2 <x -3x 2 0 <x and x < 2 e) O y(x) = 2 -3x 4 2 6-3x e 3 2 3x f) None of the above.
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