B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e²* + C3e* ; y"" – 6y" + 11y' - 6y = 0

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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B. Prove that the given equation is a solution to the given DE:
1. = Cze3* + Cze2* + Cze* ; y" – 6y" + 11y' - 6y = 0
2. = x? + 4x; xy' = x² + y
3. y = e3* ;
у" — 4у" — 4у' + 16у %3D 0
Transcribed Image Text:B. Prove that the given equation is a solution to the given DE: 1. = Cze3* + Cze2* + Cze* ; y" – 6y" + 11y' - 6y = 0 2. = x? + 4x; xy' = x² + y 3. y = e3* ; у" — 4у" — 4у' + 16у %3D 0
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