Given the differential equation (D3 + 9D2 + 27D+ 27) y = ln(2x 3). Propose an appropriate particular solution. Take A, B and C to be functions of x Yp = Ae3 + Bre3 + Cx?e3r O yp = Ae 3z + Be-3 + Ce-3x Yp Axe-3r + Bx'e-3z + Cx³e 3r Ae-3x O Yp -3z + Bre + Cx?e-3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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13
Given the differential equation
(D3 + 9D2 + 27D+ 27) y = In(2x -3). Propose an appropriate
particular solution. Take A, B and C to be functions of x
O yp = Ae3 + Bxe3 + Cx²e3*
O y, = Ae-3 + Be-3 + Ce-3
Yp
Yp
Axe-3x
+ Bx?e-3z
+ Cx³e_3r
:-3z
Ae 3 + Bxe 3x
O Yp
+ Cx?e-3
%3D
Transcribed Image Text:Given the differential equation (D3 + 9D2 + 27D+ 27) y = In(2x -3). Propose an appropriate particular solution. Take A, B and C to be functions of x O yp = Ae3 + Bxe3 + Cx²e3* O y, = Ae-3 + Be-3 + Ce-3 Yp Yp Axe-3x + Bx?e-3z + Cx³e_3r :-3z Ae 3 + Bxe 3x O Yp + Cx?e-3 %3D
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