Consider the eigenvalue problem: ((1 + x 4 )y')' + λy = 0, x ∈ (0, 1), y(0) = 0, y(1) + 2y'(1) = 0. Then which of the following statements is true?

All the eigenvalues are negative

There exist some negative eigenvalues and some positive eigenvalues

Consider the eigenvalue problem: ((1 + x 4 )y')' + λy = 0, x ∈ (0, 1), y(0) = 0, y(1) + 2y'(1) = 0. Then which of the following statements is true?

All the eigenvalues are negative

There exist some negative eigenvalues and some positive eigenvalues

Consider the eigenvalue problem: ((1 + x 4 )y')' + λy = 0,... | Mathematics MCQ [Updated November 2026] | GkGet

Mathematics · Differential Equations

Consider the eigenvalue problem:
((1 + x⁴)y')' + λy = 0, x ∈ (0, 1),
y(0) = 0, y(1) + 2y'(1) = 0.
Then which of the following statements is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1All the eigenvalues are negative
2All the eigenvalues are positive✓
3There exist some negative eigenvalues and some positive eigenvalues
4There are no eigenvalues

Correct answer

All the eigenvalues are positive

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