Find the solution of the differential equation using Laplace Transform: y" – y' – 6y = 0; y(0) = 6, y'(0) = 13 %3D Oy = -e-t + et Oy = te 3t %3D Oy = e -e 31 -2t %3D Oy = -e +e 24 3t 31 %3D
Find the solution of the differential equation using Laplace Transform: y" – y' – 6y = 0; y(0) = 6, y'(0) = 13 %3D Oy = -e-t + et Oy = te 3t %3D Oy = e -e 31 -2t %3D Oy = -e +e 24 3t 31 %3D
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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Transcribed Image Text:Question 6
Find the solution of the differential equation using Laplace Transform:
y" – y' – 6y = 0; y(0) = 6, y'(0) = 13
%3D
Oy = -e-t + t
Oy = e
-3t
Oy = je* – e
31
-2t
%3|
31
Oy = -et + e 2t
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