Given the differential equation y'' 81y= 2e3t, y(0) = 0, y'(0) = 0 = - a) Apply the Laplace Transform and solve for Y(s) Y(s) = = b) Now solve the IVP by using the inverse Laplace Transform y(t) y(t) = = L-¹ {Y(s)}
Given the differential equation y'' 81y= 2e3t, y(0) = 0, y'(0) = 0 = - a) Apply the Laplace Transform and solve for Y(s) Y(s) = = b) Now solve the IVP by using the inverse Laplace Transform y(t) y(t) = = L-¹ {Y(s)}
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:Given the differential equation
y'' 81y= 2e3t, y(0) = 0, y'(0) = 0
= -
a) Apply the Laplace Transform and solve for Y(s)
Y(s) =
=
b) Now solve the IVP by using the inverse Laplace Transform y(t)
y(t)
=
=
L-¹ {Y(s)}
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