In Problems 1-22 solve the given differential equation by separation of variables. dy 1. = sin 5x dx 2. = (x + 1)² dx 3. dx + e³dy=0 4. dy-(y-1)²dx = 0
In Problems 1-22 solve the given differential equation by separation of variables. dy 1. = sin 5x dx 2. = (x + 1)² dx 3. dx + e³dy=0 4. dy-(y-1)²dx = 0
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
M9
![In Problems 1-22 solve the given differential equation by
separation of variables.
dy
1.
= sin 5x
2. dx = (x + 1)²
dx
dx
3. dx + e³xdy=0
4. dy-(y-1)2dx = 0
dy
5. x
= 4y
6.
dy
dx
+ 2xy² = 0
dx
dy
7. =
dx
Bey
=ete 2 y
e³x+2y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868f3c7a-bccc-40a5-ad2f-8addc0229eb7%2F26a72798-0416-48e6-9e71-da1eb736f564%2Fspqvw37_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Problems 1-22 solve the given differential equation by
separation of variables.
dy
1.
= sin 5x
2. dx = (x + 1)²
dx
dx
3. dx + e³xdy=0
4. dy-(y-1)2dx = 0
dy
5. x
= 4y
6.
dy
dx
+ 2xy² = 0
dx
dy
7. =
dx
Bey
=ete 2 y
e³x+2y
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