Find the complete solution for the following ordinary differential equation y" -y' - 2y = x² 1- C₁ e²x + C₂ e-2x-x²+ 3+ C Option 1 3- C₁ ex + C₂ e²x ---3+C EA+ 2- C₁ e-x + C₂ e²x -+-+C Option 2 4- C₁ e-*+C₂ e²x+x−3+C E:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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Find the complete solution for the following ordinary
differential equation
y" - y' - 2y = x²
1- C₁₂ e²x + C₂e-2x-x² + 3 + C
Option 1
3- C₁ e* + C₂ e²x ---3+C
EA+
2- C₁ e-x + C₂ e²x -+-+c
Option 2
4- C₁ e* + C₂ ²x+x−3+ C
Ex
Transcribed Image Text:Find the complete solution for the following ordinary differential equation y" - y' - 2y = x² 1- C₁₂ e²x + C₂e-2x-x² + 3 + C Option 1 3- C₁ e* + C₂ e²x ---3+C EA+ 2- C₁ e-x + C₂ e²x -+-+c Option 2 4- C₁ e* + C₂ ²x+x−3+ C Ex
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