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
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-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.
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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