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Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2 e-tdt;y(0) = 0, y'(0) = 0 %3D

Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2 e-tdt;y(0) = 0, y'(0) = 0 %3D

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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Question 9 Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2 e-tdt;y(0) = 0,y'(0) = 0 %3D Oy = (4 – 3e(1+ 2t) – e-3*] Oy = (4+ 3e-(1– 2) – e-3«] Oy = (4+ 3e (1 – 2t) – e*] Oy = }(4 – 3eʻ (1 + 2t) – e*] %3D
Transcribed Image Text:Question 9 Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2 e-tdt;y(0) = 0,y'(0) = 0 %3D Oy = (4 – 3e(1+ 2t) – e-3*] Oy = (4+ 3e-(1– 2) – e-3«] Oy = (4+ 3e (1 – 2t) – e*] Oy = }(4 – 3eʻ (1 + 2t) – e*] %3D
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