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A Particular Solution of the Differential Equation y′′−2y′+y=cos⁡xy ^ { \prime \prime } - 2 y ^ { \prime } + y = \cos x

Question 3

Multiple Choice

A particular solution of the differential equation y′′−2y′+y=cos⁡xy ^ { \prime \prime } - 2 y ^ { \prime } + y = \cos x is


A) yp=cos⁡xy _ { p } = \cos x
B) yp=sin⁡xy _ { p } = \sin x
C) yp=sin⁡x/2y _ { p } = \sin x / 2
D) yp=cos⁡x/2y _ {p } = \cos x / 2
E) yp=−sin⁡x/2y _ { p } = - \sin x / 2

Correct Answer:

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