Which of the following is the particular solution of a nonhomogeneous differential equation evaluated by using the variation of parameters method, where ye = c1x + c2x', u 3x- 2x and u 2x+ 3. Select one: O y, = 5x - x O None of these O y, = -x+ 5x O y, = x +5x O yp = 5x+ x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Which of the following is the particular solution of a nonhomogeneous differential
equation evaluated by using the variation of parameters method, where
y. = cx + e2x, uj = 3x - 2x and uz = 2x + 3.
Select one:
O y, = 5x - xr
O None of these
%3D
O y, = -x + 5x
O y, = x + 5x*
O y, = 5x + x*
To find a particular solution for
3y"-12y + 39y = ex-3x
with the method of variation of parameters, we have
e2x-3x
yi = e cos 3x, y = e* sin 3x and f(x)
Select one:
O True
False
3.
Transcribed Image Text:Which of the following is the particular solution of a nonhomogeneous differential equation evaluated by using the variation of parameters method, where y. = cx + e2x, uj = 3x - 2x and uz = 2x + 3. Select one: O y, = 5x - xr O None of these %3D O y, = -x + 5x O y, = x + 5x* O y, = 5x + x* To find a particular solution for 3y"-12y + 39y = ex-3x with the method of variation of parameters, we have e2x-3x yi = e cos 3x, y = e* sin 3x and f(x) Select one: O True False 3.
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