Solve the initial value problem: a" - 2x' = 12e2 – 8e-2", x(0) = -2, r'(0) = 12 %3D

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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X Ce + Czet = C,+Cze*
Xp= Atet + Be-2t
X'p= Ae+2Ate 2Be
-24
X'p= 2Ae2t+2Ae2t+ 4Ate+ 4Be-zt
4Ae?t+4Ate 4Be 22Atet-2Be*
4Ae+2Ate?* + ZBe-Zt = 12ee-8e-27
= 12e -৪c
2t
-2t
4A=8
A=2
2B =-8
8=-4
%3D
Transcribed Image Text:X Ce + Czet = C,+Cze* Xp= Atet + Be-2t X'p= Ae+2Ate 2Be -24 X'p= 2Ae2t+2Ae2t+ 4Ate+ 4Be-zt 4Ae?t+4Ate 4Be 22Atet-2Be* 4Ae+2Ate?* + ZBe-Zt = 12ee-8e-27 = 12e -৪c 2t -2t 4A=8 A=2 2B =-8 8=-4 %3D
Solve the initial value problem: a" – 2r' = 12e2 - 8e-2
x(0) = -2, a'(0) = 12
%3D
%3D
%3D
Transcribed Image Text:Solve the initial value problem: a" – 2r' = 12e2 - 8e-2 x(0) = -2, a'(0) = 12 %3D %3D %3D
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