Determine whether the functions y, and y, are linearly dependent on the interval (0,1). y =1-2 sin t, y2 = 12 cos 2t Select the correct choice below and, if necessary, fill in the answer boX within your choice. CA Since y= ]y on (0,1), the functions are linearly dependent on (0,1). %3D (Simplify your answer ) OB. Since y= ( ]y2 on (0, 1), the functions are linearly independent on (0,1). (Simplify your answer) OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1) OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1). 73°F Sunny

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether the functions y, and y, are linearly dependent on the interval (0,1).
V=1-2 sin t, y2 = 12 cos 2t
Select the correct choice below and, if necessary, fill in the answer boX within your choice.
CA Since y,= ]y on (0,1), the functions are linearly dependent on (0,1).
(Simplify your answer ).
OB. Since y = ( )y, on (0,1), the functions are linearly independent on (0,1).
(Simplify your answer)
OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1)
OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1).
73°F
Sunny
Transcribed Image Text:Determine whether the functions y, and y, are linearly dependent on the interval (0,1). V=1-2 sin t, y2 = 12 cos 2t Select the correct choice below and, if necessary, fill in the answer boX within your choice. CA Since y,= ]y on (0,1), the functions are linearly dependent on (0,1). (Simplify your answer ). OB. Since y = ( )y, on (0,1), the functions are linearly independent on (0,1). (Simplify your answer) OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1) OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1). 73°F Sunny
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