Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose one)
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
Section: Chapter Questions
Problem 1RQ
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Please show all work and steps clearly.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f6b732a-bed2-4920-9641-c9a775ce32df%2F7f5e6c45-4570-4375-8e8a-0d7a53217d8b%2Fpl44hsk_processed.png&w=3840&q=75)
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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