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

Question 22

Multiple Choice

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

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