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Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 is a constant f(t-r)e dr y(t) = ae" + 4t | y(t) = 4et + f(t-T)e dr y(t) = eat + f(7) sin 47dr y(t) = 4et + f(t - T) sin 47dT O None of the given choices

Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 is a constant f(t-r)e dr y(t) = ae" + 4t | y(t) = 4et + f(t-T)e dr y(t) = eat + f(7) sin 47dr y(t) = 4et + f(t - T) sin 47dT O None of the given choices

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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Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 is a constant y(t) = ae“ + f(t – 7)e*r dr y(t) = 4et | f(t- 7)eT dr y(t) = eat + f(+) sin 4rdr y(t) = 4et + f(t – T) sin 4rdT None of the given choices
Transcribed Image Text:Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 is a constant y(t) = ae“ + f(t – 7)e*r dr y(t) = 4et | f(t- 7)eT dr y(t) = eat + f(+) sin 4rdr y(t) = 4et + f(t – T) sin 4rdT None of the given choices
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