The functions fi(x) 3x and f2(x) 3x-3 %3D %3D form a fundamental set of solutions of the differential equation x y" +3xy - 3y 0 on the interval (0, co). Select one: True False The two-parameter family of solutions of the differential equation y"+9y = 0 is y = c1 cos 3x + c2 sin 3x. Then, the BVP: y" + 9y = 0, y(0) = -3, y(z/2) = -3, %3D has Select one: infinitely many solutions O no solution the only one solution with: C = -3, c2 = -3 O the only one solution with: c1 = -3, c2 = 3 O None of these
The functions fi(x) 3x and f2(x) 3x-3 %3D %3D form a fundamental set of solutions of the differential equation x y" +3xy - 3y 0 on the interval (0, co). Select one: True False The two-parameter family of solutions of the differential equation y"+9y = 0 is y = c1 cos 3x + c2 sin 3x. Then, the BVP: y" + 9y = 0, y(0) = -3, y(z/2) = -3, %3D has Select one: infinitely many solutions O no solution the only one solution with: C = -3, c2 = -3 O the only one solution with: c1 = -3, c2 = 3 O None of these
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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Transcribed Image Text:The functions fi(x) = 3x and f2(x) 3x3
form a fundamental set of solutions of the
differential equation x y" + 3xy - 3y = 0 on
the interval (0, o0).
Select one:
True
O False
The two-parameter family of solutions of the
differential equation y" +9y 0 is
y = c1 cos 3x + c2 sin 3x.
Then, the BVP:
y" + 9y = 0, y(0) = -3, y(z/2) = -3,
has
Select one:
infinitely many solutions
no solution
O the only one solution with:
c = -3, c2 = -3
O the only one solution with: c = -3, c2 = 3
O None of these
The functions fi (x) = 3x and f2(x) = 3x-3
form a fundamental set of solutions of the
differential equation xy" +3xy - 3y = 0 on
the interval (0, oo).
%3D
Select one:
True
O False
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