The linear combination of a given set of solutions is in the form below: Ci + C2 cos² + C3 sin? x What are the values of the arbitrary constants which make the solutions linearly dependent? O C1 = 0, C2 = 0, C3 = 0 O C1 = =1, C2 = =1, C3 = 1 O C1 = 0, C2 = 1, C3 = 1 O C1 = -1, C2 = 1, C3 = 1 O C1 = 1, C2 = 0, C3 = 0 O Ci = 1, C2 = 0, C3 = 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The linear combination of a given set of solutions is in the form below:
C1 + C2 cos² x + C3 sin² x
What are the values of the arbitrary constants which make the solutions linearly dependent?
O C1 = 0, C2 = 0, C3 = 0
%3D
O C1 = –1, C2 = -1, C3 = 1
O C = 0, C2 = 1, C3 = 1
O C1 = -1, C2 = 1, C3 = 1
%3D
%3D
O C1 = 1, C2 = 0, C3 = 0
%3D
%3D
%3D
O C1 = 1, C2 = 0, C3 = 1
%3D
Transcribed Image Text:The linear combination of a given set of solutions is in the form below: C1 + C2 cos² x + C3 sin² x What are the values of the arbitrary constants which make the solutions linearly dependent? O C1 = 0, C2 = 0, C3 = 0 %3D O C1 = –1, C2 = -1, C3 = 1 O C = 0, C2 = 1, C3 = 1 O C1 = -1, C2 = 1, C3 = 1 %3D %3D O C1 = 1, C2 = 0, C3 = 0 %3D %3D %3D O C1 = 1, C2 = 0, C3 = 1 %3D
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