dy 9. = dt du y t 21 +2, y(1) = 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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By hand solution only Q9 needed
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
+2, y(0) = 3
+ 2,
y(1) = 3
2y
-= 2t², y(-2) = 4
t
8.
10.
12.
dy
dt
dy
dt
=
1
t + 1
−2ty+4e-¹², _y(0) = 3
y = 2t³e²t,
y(1) = 0
3
-y+4t² +4t, y(1) = 10
t
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 +2, y(0) = 3 + 2, y(1) = 3 2y -= 2t², y(-2) = 4 t 8. 10. 12. dy dt dy dt = 1 t + 1 −2ty+4e-¹², _y(0) = 3 y = 2t³e²t, y(1) = 0 3 -y+4t² +4t, y(1) = 10 t
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