For a continuous function q defined on ℝ, consider the ordinary differential equation (ODE): d2y/dx2 + q(x) y = 0, x ∈ ℝ. Which of the following statements is FALSE?

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Mathematics · Differential Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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There exists a q such that sin(x) and cos(x) are solutions of the ODE.

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