Eliminate the arbitrary constant. 2x y=c₁' e B A y"-y'- 2x=0 C -X (D) +c_e 2 y"-y'-2y=0 2y"-y'-2x = 0 y"-2y'-2x = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Eliminate the arbitrary constant.
2x
y=c₁₁e
1
-X
B
+ c
e
A y"-y'- 2x=0
y"-y'-2y=0
2y"-y'- 2x=0
y"-2y'- 2x=0
Transcribed Image Text:Eliminate the arbitrary constant. 2x y=c₁₁e 1 -X B + c e A y"-y'- 2x=0 y"-y'-2y=0 2y"-y'- 2x=0 y"-2y'- 2x=0
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Now
LX
y"_y_2y=c₁e² +4c₂e²
+Ce
2x
x
- 20ge 2₁e - 2c2e²
Transcribed Image Text:Now LX y"_y_2y=c₁e² +4c₂e² +Ce 2x x - 20ge 2₁e - 2c2e²
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