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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(1 – t)e** dr %3D None of the given choices y(t) = 4e" + f(t - t)e" dr y(t) = e" + f(t) sin 4rdt y(t) = 4e" + | s(t – t) sin 47dr

Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 is a constant y(t) = ae“ + / f(1 – t)e** dr %3D None of the given choices y(t) = 4e" + f(t - t)e" dr y(t) = e" + f(t) sin 4rdt y(t) = 4e" + | s(t – t) sin 47dr

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 a is a constant y(t) = ae“ + / f(1 – r)e** dr %3D None of the given choices y(t) = 4e" + f(t - t)e" dr y(t) = e" + f(t) sin 4rdt y(t) = 4e" + | s(t - 7) sin 4rdr
Transcribed Image Text:Use Laplace Transforms to solve the following differential equation. y - ay = f(t), y(0) = 4 a is a constant y(t) = ae“ + / f(1 – r)e** dr %3D None of the given choices y(t) = 4e" + f(t - t)e" dr y(t) = e" + f(t) sin 4rdt y(t) = 4e" + | s(t - 7) sin 4rdr
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