y" + 3y² + 2y = 12x²; y(0) = a, y'(0) = b Find the solution. A y(x) = c₁e²x + c₁₂e-2x+6x³-18x²+2 B) y(x) = c₁e-²x + ₂x + 3x² − 18x+21 © y(x) = c₁₂e-³x + c²₂e-²x + 2x² - 6x +4 D y(x) = c₁ex + c₂e-2x+6x²-18x+21
y" + 3y² + 2y = 12x²; y(0) = a, y'(0) = b Find the solution. A y(x) = c₁e²x + c₁₂e-2x+6x³-18x²+2 B) y(x) = c₁e-²x + ₂x + 3x² − 18x+21 © y(x) = c₁₂e-³x + c²₂e-²x + 2x² - 6x +4 D y(x) = c₁ex + c₂e-2x+6x²-18x+21
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Consider the following IVP:
y" + 3y + 2y = 12x²; y(0) = a, y'(0) = b
Find the solution.
A y(x) = c₁₂e-²x + c₂e
(B
©
1
c₂e-2x+6x³-18x²+2
y(x) = c₁₂e-²x + c₂ex + 3x² - 18x+21
-3x
y(x) = c₂₁e² + c₂e
-2x + 2x² - 6x +4
y(x) = c₂e²x + c₂e²
-2x+6x²-18x+21
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