Let y(t) satisfies dy 3ty-t-t for t20, dt 1+t2 and y(t 0) 1. Show that y(t) S1+t² for t2 0.
Let y(t) satisfies dy 3ty-t-t for t20, dt 1+t2 and y(t 0) 1. Show that y(t) S1+t² for t2 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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![Let y(t) satisfies
dy 3ty -t-t3
1+t2
for t2 0,
dt
and y(t = 0) = 1. Show that y(t) S 1+t2 for t2 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f49a49-6dd5-43fa-add0-f6c665059f8b%2Fa3977be0-5371-4ca8-91d1-b01f9bca3fb4%2Fknx37ui_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y(t) satisfies
dy 3ty -t-t3
1+t2
for t2 0,
dt
and y(t = 0) = 1. Show that y(t) S 1+t2 for t2 0.
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