Which of the following equations is a linear differential equation? (choose all possible answer) A B (D агу ?х?t E 2 ху- - d²y dx² 3xt азу ?x t2 ду ду +X2 at уах © (3x-2y)dx+(3x+2y)dy = 0 агу дх2 azy ?хд 4sin(x)- -13- dy dx +3xycos(t) = 0 ду at + 3xy=0 ду + 2x - 4xycos(4t) = 0 at + 2ytan(x) = 0 F (ycos(y²) - 3)dx - (4xy + 3)dy = 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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Which of the following equations is a linear differential equation? (choose all possible
answer)
A
B
O
(D
E
Р
агу
?х?t
- y
3xt
ду
?х
2y
?x t
ду
+X2
at
2 ху- 4sin(x)-
d²y
dx²
(3x-2y)dx + (3x+2y)dy = 0
азу
агу
dxdt2
дх2
ду
at
et_
dy
dx
+ 2x
+ 3xycos(t) = 0
+ 3xy=0
ду
at
- 4xycos(4t) = 0
+ 2ytan(x) = 0
(ycos(y²) - 3)dx - (4xy + 3)dy = 0
Transcribed Image Text:Which of the following equations is a linear differential equation? (choose all possible answer) A B O (D E Р агу ?х?t - y 3xt ду ?х 2y ?x t ду +X2 at 2 ху- 4sin(x)- d²y dx² (3x-2y)dx + (3x+2y)dy = 0 азу агу dxdt2 дх2 ду at et_ dy dx + 2x + 3xycos(t) = 0 + 3xy=0 ду at - 4xycos(4t) = 0 + 2ytan(x) = 0 (ycos(y²) - 3)dx - (4xy + 3)dy = 0
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