Mathematics · Differential Equations
द्वि-बिंदु परिसीमा मान समस्या (two-point boundary value problem): y''(x) + λy(x) = 0 जहाँ x ∈ (0, π) y(0) = 0, y(π) = 0 का एक तुच्छ हल (trivial solution) y = 0 है। इसका एक गैर-तुच्छ हल (non-trivial solution) किसके लिए अस्तित्व में होगा?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1λ ≤ 0
- 2सभी n ∈ ℕ के लिए λ = n 2✓
- 3λ = 0
- 4λ ∈ ℝ के किसी भी मान के लिए नहीं
सही उत्तर देखें
सभी n ∈ ℕ के लिए λ = n 2
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