Template:Math/EQ RadialPulsation03

	$0=\frac{d^{2}x}{d{\xi }^2}+[4-\xi (\frac{d\psi }{d\xi }\left)\right]\frac{1}{\xi }\cdot \frac{dx}{d\xi }+\left[\right(\frac{{\sigma }_c^2}{6{\gamma }_{\mathrm{g}}}){\xi }^2-\alpha \xi (\frac{d\psi }{d\xi }\left)\right]\frac{x}{{\xi }^2}$
where:    ${\sigma }_c^2\equiv \frac{3{\omega }^2}{2\pi G{\rho }_c}$     and,     $\alpha \equiv (3-\frac{4}{{\gamma }_{\mathrm{g}}})$