7. xy' = 4y dy y³ dx D) (9. 11. = dxemx²y² ou = 1 + x dy

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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Can someone please help me answer questions 7,9,and 11.I’m having a hard time
In Problems 1-40 solve the given differential equation by separation of
variables.
dy
1.) = sin 5x
dx
3. dx + e³x dy = 0
dylan
5. (x + 1) = x + 6
dx
7.xy' = 4y
dy y³
dx
x²
9.
11.
dx
dy
=
=
x²y²
1 + x
2.
(x + 1)²
4. dx - x²dy = 0
dy
6. et = 2x
dx
8.
10.
dy
dx
12.
dy
dx
+ 2xy = 0
dy _ y + 1
dx
dx
dy
X
1 + 2y²
y sin x
Transcribed Image Text:In Problems 1-40 solve the given differential equation by separation of variables. dy 1.) = sin 5x dx 3. dx + e³x dy = 0 dylan 5. (x + 1) = x + 6 dx 7.xy' = 4y dy y³ dx x² 9. 11. dx dy = = x²y² 1 + x 2. (x + 1)² 4. dx - x²dy = 0 dy 6. et = 2x dx 8. 10. dy dx 12. dy dx + 2xy = 0 dy _ y + 1 dx dx dy X 1 + 2y² y sin x
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