16. Given the differential equation and the solution. determine the wronskian -3+2y 0 dx2 ex %3D y = Ae* + Be2x a) e2x b)| et 2x 2x

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q16

14. Which of the following is a solution of the differential
equation
d²y
dx2 -10-
a) e10x
dy
dx
+ 25y 0
b) e-Sx
c) xe5x
d) e25x
15. Which of the following is a solution of the differential
equation
d'y
6 + 25y = 0
dy
-
dx2
a) e3x
%3D
dx
b) e4x
c) cos (4x)
d) e3xcos (4x)
16. Given the differential equation and the solution,
determine the wronskian
dzy
dx2
3 +2y 0
%3D
dx
y = Ae* + Be2x
a)
ex
e2x
ex
et
2e2x
e*
e2x
e2x
2e*
d)
e2x
e2x
이
c)
ex
ex
e2x
et
ex
Transcribed Image Text:14. Which of the following is a solution of the differential equation d²y dx2 -10- a) e10x dy dx + 25y 0 b) e-Sx c) xe5x d) e25x 15. Which of the following is a solution of the differential equation d'y 6 + 25y = 0 dy - dx2 a) e3x %3D dx b) e4x c) cos (4x) d) e3xcos (4x) 16. Given the differential equation and the solution, determine the wronskian dzy dx2 3 +2y 0 %3D dx y = Ae* + Be2x a) ex e2x ex et 2e2x e* e2x e2x 2e* d) e2x e2x 이 c) ex ex e2x et ex
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