5t 2 ; Consider the DE: x' = x, with solutions x, = 1 [3e* and x2 = 12. - L4e-2t] a) Verify that x, and x2 are solutions to the given DE. b) Verify that the solutions are linearly independent.
5t 2 ; Consider the DE: x' = x, with solutions x, = 1 [3e* and x2 = 12. - L4e-2t] a) Verify that x, and x2 are solutions to the given DE. b) Verify that the solutions are linearly independent.
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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please don't write in cursive thank you!
![-2t1
; Consider the DE: x' =| ,
= x, with solutions x1 =
[3e
L4e-2t]
12.
х,
and
X2
5t
a) Verify that x1 and x2 are solutions to the given DE.
b) Verify that the solutions are linearly independent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F299ffce4-c1c2-4185-a9ae-8c8dbab07658%2Fbf5aba9d-e63e-41fe-b937-7012693c2261%2F9j86fks_processed.png&w=3840&q=75)
Transcribed Image Text:-2t1
; Consider the DE: x' =| ,
= x, with solutions x1 =
[3e
L4e-2t]
12.
х,
and
X2
5t
a) Verify that x1 and x2 are solutions to the given DE.
b) Verify that the solutions are linearly independent.
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