Find the Yp for the second order linear non-homogeneous equation for y" – 2x² = 0 . Yn = A+ Bx. Since f(x)=2x², hence y, =(Cx² ).x° = Cx² . Ob. y, = A+ Bx. Since f(x)= 2x², hence y, = (Cx² + Dx+ E)r' = Cx³ + Dx² + Ex'. y, = (A+Bx)e*. Since f(x)= 2x², hence y, = (Cx² + Dx +E)x° = Cx² + Dx +E. od. Y, = A+ Bx . Since f(x) = 2x², hence y, = (Cx² + Dx + E )x² = Cx* + Dx³ + Ex² . %3D

Calculus: Early Transcendentals
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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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Find the y, for the second order linear non-homogeneous equation for y" – 2x² = 0 .
Oa.
y, = A+ Bx. Since f(x)=2x², hence y, =(Cx² )x° = Cx².
Ob.
Y, = A+ Bx . Since f(x)=2x², hence y, =(Cx² + Dx + E)x' = Cx³ + Dx² + Ex' .
y, = (A+Bx)e*. Since f(x)=2x², hence y, = (Cx² + Dx+ E)x° = Cx² + Dx+ E .
d.
y, = A+ Bx. Since f(x)=2x², hence y, =(Cx² + Dx+ E )x² = Cx* + Dx³ + Exr².
%3D
Transcribed Image Text:Find the y, for the second order linear non-homogeneous equation for y" – 2x² = 0 . Oa. y, = A+ Bx. Since f(x)=2x², hence y, =(Cx² )x° = Cx². Ob. Y, = A+ Bx . Since f(x)=2x², hence y, =(Cx² + Dx + E)x' = Cx³ + Dx² + Ex' . y, = (A+Bx)e*. Since f(x)=2x², hence y, = (Cx² + Dx+ E)x° = Cx² + Dx+ E . d. y, = A+ Bx. Since f(x)=2x², hence y, =(Cx² + Dx+ E )x² = Cx* + Dx³ + Exr². %3D
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