Given the differential equation: y"+3y! +2y = + e Propose an appropriate particular solution. Yp = (A+ Bx) e + (C+ Dx + Ex?) e2 %3D Yp = (Ax + Bx?) e + (Ca + Dx2 + Ex') e2 %3D Yp = (A+ Ba)e-+ (C+ Da + Ex?) e-2 Yp = (Ax + Ba?) e + (Ca + Da? + Ex*) e 22

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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11.
Given the differential equation:
y"+3y +2y =
+
e
Propose an appropriate particular solution.
Yp = (A+ Bx) e" + (C+ Dx + Ex?) e2
%3D
Yp = (Ax + Bx?) e + (Ca + Da² + Ex) e2
%3D
Yp = (A+ Ba)e-+ (C+ Da + Ex?) e-22
Yp = (Aa + Ba?) e- + (Ca+ Da² + Ex) e-2
%3D
Transcribed Image Text:Given the differential equation: y"+3y +2y = + e Propose an appropriate particular solution. Yp = (A+ Bx) e" + (C+ Dx + Ex?) e2 %3D Yp = (Ax + Bx?) e + (Ca + Da² + Ex) e2 %3D Yp = (A+ Ba)e-+ (C+ Da + Ex?) e-22 Yp = (Aa + Ba?) e- + (Ca+ Da² + Ex) e-2 %3D
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