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- Jan 26, 2012

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**Problem**: Consider a differential equation of the form

\[A(x)y^{\prime\prime} + B(x)y^{\prime} + C(x)y + \lambda D(x)y = 0.\]

Show that you can express this equation in Sturm-Liouville form, given by

\[\frac{d}{dx}\left[p(x)\frac{dy}{dx}\right] - q(x)y -\lambda r(x)y = 0.\]

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**Hint**:

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