Are fi (x) = e-3* and f2(x) = ed solutions to the differential equation y" – y' – 12y = 0 on the interval (-0o, 0)?A. YesВ. NoAre fi (x) = e-3* and f2(x) = ete linearly independent or linearly dependent on (-o, 0)?A. Linearly independentB. Linearly dependent-3xand f2(x) = e4 form a fundamental set of solutions of the differential equation y" – y' - 12y = 0 on theDo fi (x) = einterval (-00, ∞)?Α. ΝοВ. Yes

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Are fi (x) = e-3* and f2(x) = e solutions to the differential equation y" – y' – 12y = 0 on the interval (-0, 00)? OA. Yes OB. No Are fi (x) = e-3r and f2(x) = et linearly independent or linearly dependent on (-0o, 0)? OA. Linearly independent OB. Linearly dependent = e-3* and f2(x) = e4 form a fundamental set of solutions of the differential equation y"-y'-12y = 0 on the Do fi(x) interval (-00, ∞)? OA. No OB. Yes

Are fi (x) = e-3* and f2(x) = e solutions to the differential equation y" – y' – 12y = 0 on the interval (-0, 00)? OA. Yes OB. No Are fi (x) = e-3r and f2(x) = et linearly independent or linearly dependent on (-0o, 0)? OA. Linearly independent OB. Linearly dependent = e-3* and f2(x) = e4 form a fundamental set of solutions of the differential equation y"-y'-12y = 0 on the Do fi(x) interval (-00, ∞)? OA. No OB. Yes

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Are fi (x) = e-3* and f2(x) = ed solutions to the differential equation y" – y' – 12y = 0 on the interval (-0o, 0)?
A. Yes
В. No
Are fi (x) = e-3* and f2(x) = ete linearly independent or linearly dependent on (-o, 0)?
A. Linearly independent
B. Linearly dependent
-3x
and f2(x) = e4 form a fundamental set of solutions of the differential equation y" – y' - 12y = 0 on the
Do fi (x) = e
interval (-00, ∞)?
Α. Νο
В. Yes

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