Template:Math/EQ RadialPulsation01

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Revision as of 16:18, 12 December 2023 by Xxsrm (talk | contribs) (Created page with "<table border=0 cellpadding=2> <tr> <td align="right"> 25px|link=Appendix/EquationTemplates#Stability:_Radial_Pulsation </td> <td align="center"> <math> \frac{d^2x}{dr_0^2} + \biggl[\frac{4}{r_0} - \biggl(\frac{g_0 \rho_0}{P_0}\biggr) \biggr] \frac{dx}{dr_0} + \biggl(\frac{\rho_0}{\gamma_\mathrm{g} P_0} \biggr)\biggl[\omega^2 + (4 - 3\gamma_\mathrm{g})\frac{g_0}{r_0} \biggr] x = 0 </math> </td> </tr> </table>")

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$\frac{d^{2} x}{d r_{0}^{2}} + [\frac{4}{r_{0}} - (\frac{g_{0} ρ_{0}}{P_{0}})] \frac{d x}{d r_{0}} + (\frac{ρ_{0}}{γ_{g} P_{0}}) [ω^{2} + (4 - 3 γ_{g}) \frac{g_{0}}{r_{0}}] x = 0$

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