dit View Go Tools Window Help * * )) 66% O Sat 5:16 PM Sem1_Final Review.pdf Q Search s| bart X 20. Which of the following are equivalent to 2x + 5 da? 5 a Pausec | (2z+5)dz 1. (5-2)da ) 15 -2+ da 5 - x 2. +3 15 2 du 3. и s left 1/20 -> Copyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these matenials online or in print beyond your school's partiopation in the program is prohibited. Page 12 of 42

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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I need help with solving the problem in the picture. Thank you

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* * )) 66% O
Sat 5:16 PM
Sem1_Final Review.pdf
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s| bart X
20.
Which of the following are equivalent to
2x + 5
da?
5 a
Pausec
| (2z+5)dz
1.
(5-2)da
)
15
-2+
da
5 - x
2.
+3
15
2 du
3.
и
s left
1/20
->
Copyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these matenials online or in print
beyond your school's partiopation in the program is prohibited.
Page 12 of 42
Transcribed Image Text:dit View Go Tools Window Help * * )) 66% O Sat 5:16 PM Sem1_Final Review.pdf Q Search s| bart X 20. Which of the following are equivalent to 2x + 5 da? 5 a Pausec | (2z+5)dz 1. (5-2)da ) 15 -2+ da 5 - x 2. +3 15 2 du 3. и s left 1/20 -> Copyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these matenials online or in print beyond your school's partiopation in the program is prohibited. Page 12 of 42
Expert Solution
Step 1

Given:

r4 2x + 5
dx
2 5-x
Evaluate to get,
5
p* 2x+ 5
dx
dx + ], 3- x
dx = 2f,
2 5- x
2 5
5
х
+ 5 – x – 5
5
-dx
.4
*-³dx \+
5 - x
-2
J2
--([{a-f)-
.4
dx + [
-dp-
2 5 – x
dx -
=-2
2 5 – x
10
dx +
.4
= -2dx +
-dx
%3D
Therefore,
-{(-2+
15
dx
5 -x
e4 2x+5
2 5-x
-dx = |,
Option 2 is correct.
Now, put 5 – x = u
dx = -du
x = 2= u = 3
x = 4= u = 1
The transformation becomes,
15
-2 +
S:(-2-Ja --f(-2+)du
15
15
2 du
Option 3 is correct.
2.
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