Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose one)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is true about the DE y" + y = tan (x), where A and B are constants?
(Choose one)
O Using the Method of Undetermined Coefficients, the general form of a particular solution yp
is Yp
A tan x.
Yp
Using the Method of Undetermined Coefficients, the general form of a particular solution
is yp = A tan x + B sec x.
%3D
The Method of Undetermined Coefficients cannot be used to solve this DE.
O Using Variation of Parameters, the general form of a particular solution yp is Yp =
A sin x + B cos x.
O The Wronskian of any two linearly independent solutions to this DE is zero, so Variation of
Parameters cannot be used to solve this DE.
Transcribed Image Text:Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose one) O Using the Method of Undetermined Coefficients, the general form of a particular solution yp is Yp A tan x. Yp Using the Method of Undetermined Coefficients, the general form of a particular solution is yp = A tan x + B sec x. %3D The Method of Undetermined Coefficients cannot be used to solve this DE. O Using Variation of Parameters, the general form of a particular solution yp is Yp = A sin x + B cos x. O The Wronskian of any two linearly independent solutions to this DE is zero, so Variation of Parameters cannot be used to solve this DE.
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