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Find the unique continuous solution on (0, 3] for the following IVP:

Find the unique continuous solution on (0, 3] for the following IVP:

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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Find the unique continuous solution on (0, 3] for the following IVP: -1, 0<t<1 y + p(t)y = e*, y(0) = -1, p(t) = %3D 1<t<3
Transcribed Image Text:Find the unique continuous solution on (0, 3] for the following IVP: -1, 0<t<1 y + p(t)y = e*, y(0) = -1, p(t) = %3D 1<t<3
Expert Solution
Step 1

In this question, we find the solution of the differential equation

y'+p(t)y=etwithy(0)=-1and p(t)=-10≤t<11/t1≤t≤3

 

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