If we have to y = C₁e* + c₂xe* is the general solution of the homogeneous differential equation associated with the non-homogeneous differential equation y" - 2y' + y = x 2e then applying the parameter variation method, the function U(x) that multiplies to the function ex in the particular solution y correspond to 1²/23 a- U(x) b- U(x) =–tanx c- U(x) = -lnx d- U(x) = -x-² ==

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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If we have to yc = C₁e* + C₂xe* is the general solution of the homogeneous differential equation
associated with the non-homogeneous differential equation y" — 2y' + y = x¯²e* then applying the
parameter variation method, the function U(x) that multiplies to the function e* in the particular
solution yp correspond to
a- U(x): =
7/213
b- U(x) = -tanx
c- U(x) = - Inx
d- U(x) = -x-²
Transcribed Image Text:Answer: If we have to yc = C₁e* + C₂xe* is the general solution of the homogeneous differential equation associated with the non-homogeneous differential equation y" — 2y' + y = x¯²e* then applying the parameter variation method, the function U(x) that multiplies to the function e* in the particular solution yp correspond to a- U(x): = 7/213 b- U(x) = -tanx c- U(x) = - Inx d- U(x) = -x-²
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