Proof. Let a₁ = (y, x;). It is clear that 0 ≤ (x − ʉ‚Ñ‚‚ ÿ – ʤ‚µ‚) y = 11² - £ (x,x) - (x₁, 3) + £ £ (x,x) || Request explain = 11 1² – 22 10,1² — 2 10,1² + 2 10,1²2 ·||1y||² - = J=1 10,1² Request, explain

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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Proof. Let a₁ = (y, x;). It is clear that
-Źμ‚x₁, y - Ĺ˜‚x,₁)
= 1x1² - £,(x, x,) - (x, y) + £ £ (x,x) || Request
explain
= 11 1² – 22 10,1² — 2 10,1² + 2 10,1²2
0 ≤
= ||1y||² -
10,1²
||ly|| ² ≥ | |(y, x,)|²,
J=1
Request,
explain
Transcribed Image Text:or Proof. Let a₁ = (y, x;). It is clear that -Źμ‚x₁, y - Ĺ˜‚x,₁) = 1x1² - £,(x, x,) - (x, y) + £ £ (x,x) || Request explain = 11 1² – 22 10,1² — 2 10,1² + 2 10,1²2 0 ≤ = ||1y||² - 10,1² ||ly|| ² ≥ | |(y, x,)|², J=1 Request, explain
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