0 t t dt = 0 บ |- -| t dt dt = 0 บ dv a dv 9.81 [1 – v² (10−4)] m/s² dv 9.81 [1 – (0.01 v)²] t dt 1 9.81 / dv 1 t = 50 In 9.81 2 (1+0.01v) In (1+0.01v 1-0.01v = 9.81t 50 In 1+0.01v 1-0.01v (2). + dv 2 (1 -0.01v)
0 t t dt = 0 บ |- -| t dt dt = 0 บ dv a dv 9.81 [1 – v² (10−4)] m/s² dv 9.81 [1 – (0.01 v)²] t dt 1 9.81 / dv 1 t = 50 In 9.81 2 (1+0.01v) In (1+0.01v 1-0.01v = 9.81t 50 In 1+0.01v 1-0.01v (2). + dv 2 (1 -0.01v)
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
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Please explain how each step of the problem given in details, especially the red marked arrow
![0
t
t
dt =
0
บ
|- -|
t
dt
dt
=
0
บ
dv
a
dv
9.81 [1 – v² (10−4)] m/s²
dv
9.81 [1 – (0.01 v)²]
t
dt
1
9.81
/
dv
1
t
=
50 In
9.81
2 (1+0.01v)
In (1+0.01v
1-0.01v
=
9.81t 50 In
1+0.01v
1-0.01v
(2).
+
dv
2 (1 -0.01v)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe933bc49-41c0-49a8-92f9-d1ccbbfebc81%2F67c545f7-365d-444c-ab1c-780ff6532fb2%2Fegdhfklr_processed.png&w=3840&q=75)
Transcribed Image Text:0
t
t
dt =
0
บ
|- -|
t
dt
dt
=
0
บ
dv
a
dv
9.81 [1 – v² (10−4)] m/s²
dv
9.81 [1 – (0.01 v)²]
t
dt
1
9.81
/
dv
1
t
=
50 In
9.81
2 (1+0.01v)
In (1+0.01v
1-0.01v
=
9.81t 50 In
1+0.01v
1-0.01v
(2).
+
dv
2 (1 -0.01v)
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