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Advanced Math

In this exercise we will use the Laplace transform to solve the following initial value problem: -1, 0

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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Question

In this exercise we will use the Laplace transform to solve the following initial value problem:
-1,
{
0<t< 1
y' + y =
y(0) = 2
0,
1<t
(1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of
the initial value problem
(2) Next solve for Y =
(3) Finally apply the inverse Laplace transform to find y(t)
y(t) =

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If you could answer using Laplace and then answer using a different method thank you
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