d the solution. - 2y'-2y = 0 31 A y = c₁₂e √³1 + B) y = cell-√3)+c_xe (1+/3), -cell-cel+5 Dyce - (2+√3)r

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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Find the solution

Find the solution.
y" - 2y¹-2y = 0
A y = c₁₂e √³¹+c₂e²
Ⓡ® y = c₁e(1-√³)1 + + Xe
(C)
1) y = ₁₁₂e (2²-√³)²₂ c₂e
-√√31
(1+√3)r
y=c₁e(1-√3)² +
1-√3)² +₂e (1 + √√3)²
(2+√3)1
Transcribed Image Text:Find the solution. y" - 2y¹-2y = 0 A y = c₁₂e √³¹+c₂e² Ⓡ® y = c₁e(1-√³)1 + + Xe (C) 1) y = ₁₁₂e (2²-√³)²₂ c₂e -√√31 (1+√3)r y=c₁e(1-√3)² + 1-√3)² +₂e (1 + √√3)² (2+√3)1
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