### Example 2.22 (A Parametrized Integral)¶

Derive a D-finite equation for a rational period integral.
Requirements: ore_algebra package

Clearing the factor of $(4t-1)$ from the denominator gives the relation [ (4t-1) \frac{d}{dt}F(x,t) + 2F(t) = \frac{d}{dx}\left(\frac{1-2x}{f(x,t)}\right) ]