In Exercises 1-6, find the general solution of the differential equation specified. 3 1. 3. 5. dy dt dt dy dt y =-=+2 t y 1+t ·+1² 2t 1 + t2 Y = 3 2. 4. 6. dy dt dy dt dy dt = - −2ty +4e-t² 2 y+t5 t = t³e¹ y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In Exercises 1-6, find the general solution of the differential equation specified.
1.
3.
5.
dy
dt
dy
dt
dy
dt
=
y
t
+2
y
1+t
+ 1²
2t
1 + t2 Y = 3
2.
4.
6.
ale ale 8
dy
dt
dy
dt
dy
dt
3
= -y+t
t
=
−2ty +4e-t²
2 y = f3ed
t
Transcribed Image Text:In Exercises 1-6, find the general solution of the differential equation specified. 1. 3. 5. dy dt dy dt dy dt = y t +2 y 1+t + 1² 2t 1 + t2 Y = 3 2. 4. 6. ale ale 8 dy dt dy dt dy dt 3 = -y+t t = −2ty +4e-t² 2 y = f3ed t
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