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Given the differential equation (D +9D² +27D+ 27) y = In(2x 3). Propose an appropriate particular solution. Take A, B and C to be functions of x Yp Ae3 + Bxe + Cx²e3* O yp = Ae 3 + Be¬3« + Ce 3* %3D O y, = Ae 3 + Bxe -3x + Ca'e 3 Yp Axe 3 + Bx?e 3 + Cx³e 3z

Given the differential equation (D +9D² +27D+ 27) y = In(2x 3). Propose an appropriate particular solution. Take A, B and C to be functions of x Yp Ae3 + Bxe + Cx²e3* O yp = Ae 3 + Be¬3« + Ce 3* %3D O y, = Ae 3 + Bxe -3x + Ca'e 3 Yp Axe 3 + Bx?e 3 + Cx³e 3z

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the differential equation (D +9D² +27D+ 27) y = In(2x 3). Propose an appropriate particular solution. Take A, B and C to be functions of x Yp Ae3 + Bxe + Cx²e3* O Yp = Ae 3 + Be-3* + Ce 3 %3D O yp = Ae Sa + Bre 3 + Ca'e 3 Yp Axe 3 + Bx²e 3 + Ca'e3
Transcribed Image Text:Given the differential equation (D +9D² +27D+ 27) y = In(2x 3). Propose an appropriate particular solution. Take A, B and C to be functions of x Yp Ae3 + Bxe + Cx²e3* O Yp = Ae 3 + Be-3* + Ce 3 %3D O yp = Ae Sa + Bre 3 + Ca'e 3 Yp Axe 3 + Bx²e 3 + Ca'e3
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