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Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12, y'(O) = -1.5, y"(0) = 37/24 O y = (5/6)e^(-1.5x) + (3/4)sin (2x/3) - (3/8)cos (2x/3) O y = (5/6)e^(-1.5x) - (3/8)sin (3x/2) + (3/4)cos (3x/2) O y = (5/6)e^(-1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3) O y = (5/6)e^(1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3)

Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12, y'(O) = -1.5, y"(0) = 37/24 O y = (5/6)e^(-1.5x) + (3/4)sin (2x/3) - (3/8)cos (2x/3) O y = (5/6)e^(-1.5x) - (3/8)sin (3x/2) + (3/4)cos (3x/2) O y = (5/6)e^(-1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3) O y = (5/6)e^(1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3)

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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Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12, y'(O) = -1.5, y"(0) = 37/24 O y = (5/6)e^(-1.5x) + (3/4)sin (2x/3) - (3/8)cos (2x/3) O y = (5/6)e^(-1.5x) - (3/8)sin (3x/2) + (3/4)cos (3x/2) O y = (5/6)e^(-1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3) O y = (5/6)e^(1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3)
Transcribed Image Text:Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12, y'(O) = -1.5, y"(0) = 37/24 O y = (5/6)e^(-1.5x) + (3/4)sin (2x/3) - (3/8)cos (2x/3) O y = (5/6)e^(-1.5x) - (3/8)sin (3x/2) + (3/4)cos (3x/2) O y = (5/6)e^(-1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3) O y = (5/6)e^(1.5x) - (3/8)sin (2x/3) + (3/4)cos (2x/3)
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