Consider the non-homogeneous ordinary differential equation (ODE): d2ydx2 + 5dydx + 6y = sin(e-5x), x > 0 Then which of the following statements is true?

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Mathematics · Ordinary Differential Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Every solution of the ODE tends to zero as x → ∞

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Answer 1

Every solution of the ODE is bounded on (0, ∞)

Answer 2

There exists a solution of the ODE which is unbounded on (0, ∞)

Answer 3

Every solution of the ODE is unbounded on (0, ∞)

Answer 4

Every solution of the ODE tends to zero as x → ∞

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