To get a feel for higher order ODES, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x> 0, 1. 1, x, x2, x, 2. e, e-, e2x - 2y" – y' + 2y = 0 y

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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To get a feel for higher order ODES, show that the given
functions are solutions and form a basis on any interval.
Use Wronskians. In Prob. 6, x > 0,
1. 1, x, x2, x,
yiv
2. e, e-, e2r.
= 0
- 2y" – y' + 2y = 0
Transcribed Image Text:To get a feel for higher order ODES, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0, 1. 1, x, x2, x, yiv 2. e, e-, e2r. = 0 - 2y" – y' + 2y = 0
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