In Exercises 5-24, find the general solution of the differential equation specified. (You may not be able to reach the ideal answer of an equation with only the dependent vari- able on the left and only the independent variable on the right, but get as far as you can.) dy 5. = dt (ty)2 6. dy dt =t4y dy 7. = 2y + 1 dt
In Exercises 5-24, find the general solution of the differential equation specified. (You may not be able to reach the ideal answer of an equation with only the dependent vari- able on the left and only the independent variable on the right, but get as far as you can.) dy 5. = dt (ty)2 6. dy dt =t4y dy 7. = 2y + 1 dt
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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Question
HELP ASAP!!! #5 ,#7 ,#11 ,#13
Transcribed Image Text:In Exercises 5-24, find the general solution of the differential equation specified. (You
may not be able to reach the ideal answer of an equation with only the dependent vari-
able on the left and only the independent variable on the right, but get as far as you
can.)
5.
8.
dy
dt
dy
dt
20.
23.
dy
11. = 2ty² + 3y²
dt
dy
dt
=
14. = t
dy
dt
(ty)2
= 2-y
dy
17. = y(1 - y)
dt
dw
dt
ty
II
1
ty+t+y+1
W
t
6.
9.
12.
15.
18.
21.
24.
dy
dt
dy
dt
dy
dt
dy
dt
dy
dt
dy
dt
dy
dx
=
=
e-y
t
y
1
2y + 1
4t
1+ 3y²
et y
1+ y²
= sec y
7.
10.
13.
16.
19.
22.
dy
dt
dx
dt
dy
dt
dy
dt
dv
dt
dy
dt
= 2y + 1
=1+x²
=
t
t²y + y
2y + 1
t
= 1²v-2-2v+t²
= y² - 4
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