Find the solution of the integro-differential equation using Laplace Transform: y' + 3y + 2 ydt = 2e-3"; y(0) = 0 Oy = 3e-3t 4e-2t +e-t Oy = 3e3t – 4e?24 + et - Oy = -3e-3t + 4e=2t – et Oy = -3et + 4et – et

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Question 8
Find the solution of the integro-differential equation using Laplace
Transform:
y' + 3y + 23
2e-3t; y(0) = 0
ydt =
Oy = 3e-3t – 4e-2t
+et
Oy = 3et – 4e2t + et
%3D
Oy = -3e-3t + 4e=2t – et
Oy = -3est + 4e2t – et
Transcribed Image Text:Question 8 Find the solution of the integro-differential equation using Laplace Transform: y' + 3y + 23 2e-3t; y(0) = 0 ydt = Oy = 3e-3t – 4e-2t +et Oy = 3et – 4e2t + et %3D Oy = -3e-3t + 4e=2t – et Oy = -3est + 4e2t – et
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