# Differential equation and discrepency

Prove that there is no continues functions $p(x),q(x)$ on the interval $(-2024,2024)$ such that: $y''+p(x)y'+q(x)y=0$ and $f(x)=\int_{0}^{x^{2024} }e^{-t^{2} }dt$ is a solution to the equation .

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Daniel90

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The answer is accepted.

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