please explain why they are linear and separable Needed A ,B And C part Correctly in 30 minutes and get the thumbs up please show neat and clean work for it By hand solution needed

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please explain why they are linear and separable Needed A ,B And C part Correctly in 30 minutes and get the thumbs up please show neat and clean work for it By hand solution needed
1. F
Determine the order of each of the following differential equations, and state
whether it is linear, separable, both, or neither.
d²y
(a) +² +t
dt2
(b) (1+ y²)
(c) +
(d)
d²y
+t
dt² dt
d'y Y
+ + +y=1
dt4 dt3 dt² dt
(f)
dy
dt
tỷ
+ 2y = sint
= 0
+y=
dt
d²y
(e) + sin(t + y) = sin t
dt2
d³y dy
dt3 dt
+t
+ (cos² t) y = t³
Transcribed Image Text:1. F Determine the order of each of the following differential equations, and state whether it is linear, separable, both, or neither. d²y (a) +² +t dt2 (b) (1+ y²) (c) + (d) d²y +t dt² dt d'y Y + + +y=1 dt4 dt3 dt² dt (f) dy dt tỷ + 2y = sint = 0 +y= dt d²y (e) + sin(t + y) = sin t dt2 d³y dy dt3 dt +t + (cos² t) y = t³
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