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Given the differential equation (D³ + 9D² + 27D+ 27) y = n(2x – 3) - . Propose an appropriate particular solution. Take A, B and C to be functions of x = Ae" + Bxe3 + Cx? e³3z O Yp Ae-3* + Be-3 O Yp + Cx²e-3¤ Yp = Ae 3x + Be-3 + Ce-3x %3D = Axe-3x O Yp + Bx²e¬3x + Cx³e-3x

Given the differential equation (D³ + 9D² + 27D+ 27) y = n(2x – 3) - . Propose an appropriate particular solution. Take A, B and C to be functions of x = Ae" + Bxe3 + Cx? e³3z O Yp Ae-3* + Be-3 O Yp + Cx²e-3¤ Yp = Ae 3x + Be-3 + Ce-3x %3D = Axe-3x O Yp + Bx²e¬3x + Cx³e-3x

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation (D³ + 9D² + 27D+ 27) y = n(2x – 3) - . Propose an appropriate particular solution. Take A, B and C to be functions of x = Ae" + Bxe3 + Cx? e³3z O Yp Ae-3* + Be-3 O Yp + Cx²e-3¤ Yp = Ae 3x + Be-3 + Ce-3x %3D = Axe-3x O Yp + Bx²e¬3x + Cx³e-3x
Transcribed Image Text:Given the differential equation (D³ + 9D² + 27D+ 27) y = n(2x – 3) - . Propose an appropriate particular solution. Take A, B and C to be functions of x = Ae" + Bxe3 + Cx? e³3z O Yp Ae-3* + Be-3 O Yp + Cx²e-3¤ Yp = Ae 3x + Be-3 + Ce-3x %3D = Axe-3x O Yp + Bx²e¬3x + Cx³e-3x
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