Mathematics · Differential Equations
The positive values of λ for which the differential equation y''(x) + λy(x) = 0 has a non-trivial solution satisfying the periodic boundary conditions y(0) = y(π) and y'(0) = y'(π) are given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1λ = 4n2, n = 1, 2, 3, ...✓
- 2λ = 2n, n = 1, 2, ...
- 3λ = 2n - 1, n = 1, 2, ...
- 4λ = 2n+12, n = 1, 2, ...
Correct answer
λ = 4n2, n = 1, 2, 3, ...
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