12 Consider the DE: x' x, with solutions x = est [3e L4e-2t and x, = a) Verify that x, and x2 are solutions to the given DE. b) Verify that the solutions are linearly independent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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can u do "B"

Consider the DE: x' = [L *
12
x, with solutions x =
and x2 =
4e-2
a) Verify that x, and x, are solutions to the given DE.
b) Verify that the solutions are linearly independent.
Transcribed Image Text:Consider the DE: x' = [L * 12 x, with solutions x = and x2 = 4e-2 a) Verify that x, and x, are solutions to the given DE. b) Verify that the solutions are linearly independent.
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