User:Tohline/Math/EQ RadialPulsation02
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<math>~0 = \frac{d^2x}{d\xi^2} + \biggl[ 4  (n+1) Q \biggr] \frac{1}{\xi} \cdot \frac{dx}{d\xi} + (n+1) \biggl[ \biggl( \frac{\sigma_c^2}{6\gamma_g } \biggr) \frac{\xi^2}{\theta}  \alpha Q\biggr] \frac{x}{\xi^2} </math> 

where: <math>~Q(\xi) \equiv  \frac{d\ln\theta}{d\ln\xi} \, ,</math> <math>~\sigma_c^2 \equiv \frac{3\omega^2}{2\pi G\rho_c} \, ,</math> and, <math>~\alpha \equiv \biggl(3  \frac{4}{\gamma_\mathrm{g}}\biggr)</math> 