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(a) Use the Laplace transform to solve the initial value problem. Here you must use unit step functions. Any other method will not earn credit. Please show all steps. dy + y = f(t), y (0) = -1, dt where ƒ (t) = { -2 if 0

(a) Use the Laplace transform to solve the initial value problem. Here you must use unit step functions. Any other method will not earn credit. Please show all steps. dy + y = f(t), y (0) = -1, dt where ƒ (t) = { -2 if 0

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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(a) Use the Laplace transform to solve the initial value problem. Here you must use unit step functions. Any other method will not earn credit. Please show all steps. dy + y = f(t), y (0) = -1, dt where ƒ (t) = { -2 if 0<t<4 t if t≥4
Transcribed Image Text:(a) Use the Laplace transform to solve the initial value problem. Here you must use unit step functions. Any other method will not earn credit. Please show all steps. dy + y = f(t), y (0) = -1, dt where ƒ (t) = { -2 if 0<t<4 t if t≥4
(b) Compute each of the following. Please show all work. (i) L(e-tu(t4)) (ii) L-1 3s-8 s2 2s+5
Transcribed Image Text:(b) Compute each of the following. Please show all work. (i) L(e-tu(t4)) (ii) L-1 3s-8 s2 2s+5
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