dy dt y 1+t —+2, y(0) = 3
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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Transcribed Image Text:In Exercises 7-12, solve the given initial-value problem.
dy
dt
7.
9.
11.
dy
dt
dy
dt
dy
dt
-
y
1+t
t
2y
t
+2, y(0) = 3
+ 2,
y(1) = 3
= 2t², y(-2) = 4
8.
10.
12.
dy
dt
dy
dt
1
t + 1
-y+4t² +4t, y(1) = 10
= −2ty +4e-¹²,
3
· y = 2t³e²t,
t
y(0) = 3
y(1) = 0
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