ven the differential equation (D3 + 9D² + 27D + 27) y = In(2x –- 3). Propose an appropriate particular solution. Take A, B and C to be functions %3D Y, = Ae-32 + Be-3x + Ce-3r Y, = Ae3z + Bxe3 + Cx²e3® Yp = Ae-3 + Bxe-3¤ + Cx²e¬3¤ + Bx²e -3x Yp = Axe-3x + Cx³e-3z

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
Ур
= Ae-3r
+ Be-3x + Ce-3¤
Yp
Ae3 + Bxe3æ + Cx²e3æ
= Ae-3 + Bxe-3* + Cx? e-3a
Yp
Yp
Axe-3x
+ Bx?e-3x
+ Cx³e-3x
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 Ур = Ae-3r + Be-3x + Ce-3¤ Yp Ae3 + Bxe3æ + Cx²e3æ = Ae-3 + Bxe-3* + Cx? e-3a Yp Yp Axe-3x + Bx?e-3x + Cx³e-3x
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