In Problems 1-40 solve the given differential equation by separation of variables. dy 0 (1.) = sin 5x dx lasin 3. dx + e³x dy = 0 lasim dystan 5. (x + 1) = x + 6 dx 7.xy' = 4y y³ 9. ch 11. dy dx dx dy = = x² x²y² 1 + x 2. 4. dx - x²dy = 0 dy 6. ex. doig 8. dy dx 10. 12. dy dx = (x + 1)² dx dy dx dx dy || + 2xy = 0 = - = 2x y + 1 X 1 + 2y² y sin x

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 solving 1,3,5,7,9,11 please I’m having a hard time .
In Problems 1-40 solve the given differential equation by separation of
variables.
12
dy
0- (1.) = sin 5x
dx
S
lasin 3. dx + e³x dy = 000 lasin
dystan
5. (x + 1)- = x + 6
dx
7.xy' = 4y
y3
9.
11.
dy
dx
dx
dy
=
=
x²
x²y²
1 + x
asq
dy
2. = (x + 1)²
dx
4. dx = x²dy = 0
-
dy
6. ex.
10.
iz 12.
dx
dy
noldong 8. + 2xy = 0
dx
dy
dx
dx
dy
||
-
=
2x
y + 1
X
1 + 2y²
y sin x
dehne
Transcribed Image Text:In Problems 1-40 solve the given differential equation by separation of variables. 12 dy 0- (1.) = sin 5x dx S lasin 3. dx + e³x dy = 000 lasin dystan 5. (x + 1)- = x + 6 dx 7.xy' = 4y y3 9. 11. dy dx dx dy = = x² x²y² 1 + x asq dy 2. = (x + 1)² dx 4. dx = x²dy = 0 - dy 6. ex. 10. iz 12. dx dy noldong 8. + 2xy = 0 dx dy dx dx dy || - = 2x y + 1 X 1 + 2y² y sin x dehne
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