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The functions fi(x) = 3x and f2(x) = 3x-3 form a fundamental set of solutions of the differential equation x y" + 3xy -3y = 0 on the interval (0, oo). Select one: True False The Wronskian of the functions fi(x) = 3x, f2(x) = 2x², and f3(x) = 2x³ is %3D Select one: O Wf1, f2, f3) = -24x³ O Wf1, $2, f3) = -36x³ O W(f1, f2, f3) = 36x³ %3D O None of these O Wf1, f2, f3) = 24x³

The functions fi(x) = 3x and f2(x) = 3x-3 form a fundamental set of solutions of the differential equation x y" + 3xy -3y = 0 on the interval (0, oo). Select one: True False The Wronskian of the functions fi(x) = 3x, f2(x) = 2x², and f3(x) = 2x³ is %3D Select one: O Wf1, f2, f3) = -24x³ O Wf1, $2, f3) = -36x³ O W(f1, f2, f3) = 36x³ %3D O None of these O Wf1, f2, f3) = 24x³

Advanced Engineering Mathematics
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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The functions fi(x) = 3x and f2(x) = 3x-3 %3D form a fundamental set of solutions of the differential equation x²y" + 3xy - 3y = 0 on the interval (0, o0). Select one: True False The Wronskian of the functions fi(x) 3x, f2(x) = 2x2, and f3(x) = 2x is Select one: O Wf1, f2, f3) = -24x³ O W(fi, f2, f3) = -36x O W(f1, f2, f3) = 36x³ None of these O W(f1, f2, f3) = 24x³
Transcribed Image Text:The functions fi(x) = 3x and f2(x) = 3x-3 %3D form a fundamental set of solutions of the differential equation x²y" + 3xy - 3y = 0 on the interval (0, o0). Select one: True False The Wronskian of the functions fi(x) 3x, f2(x) = 2x2, and f3(x) = 2x is Select one: O Wf1, f2, f3) = -24x³ O W(fi, f2, f3) = -36x O W(f1, f2, f3) = 36x³ None of these O W(f1, f2, f3) = 24x³
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