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Consider the following initial-value problem. St, lo, 0≤t<1 t≥1 Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. F(s) = y' + 4y = f(t), y(0) = 0, where f(t) = = Use the Laplace transform to solve the given initial-value problem. y(t) = ])2(t-1 ✓)

Consider the following initial-value problem. St, lo, 0≤t<1 t≥1 Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. F(s) = y' + 4y = f(t), y(0) = 0, where f(t) = = Use the Laplace transform to solve the given initial-value problem. y(t) = ])2(t-1 ✓)

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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Consider the following initial-value problem. F(s) = y' + 4y = f(t), y(0) = 0, where f(t) = Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. y(t) = t, lo, 0 ≤ t < 1 t≥ 1 Use the Laplace transform to solve the given initial-value problem. (t-1 + ✓)
Transcribed Image Text:Consider the following initial-value problem. F(s) = y' + 4y = f(t), y(0) = 0, where f(t) = Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. y(t) = t, lo, 0 ≤ t < 1 t≥ 1 Use the Laplace transform to solve the given initial-value problem. (t-1 + ✓)
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