Formula:9855

Digital Library of Mathematical Functions ID 32.2.E9

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}\zeta}^{2}}=\frac{1}{u}\left(\frac{\mathrm{d}u}{\mathrm{d}\zeta}\right)^{2}-\frac{1}{\zeta}\frac{\mathrm{d}u}{\mathrm{d}\zeta}+\frac{u^{2}(\alpha+\gamma u)}{4\zeta^{2}}+\frac{\beta}{4\zeta}+\frac{\delta}{4u},}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\alpha}}$: arbitrary constant
• ${\displaystyle{\displaystyle\beta}}$: arbitrary constant
• ${\displaystyle{\displaystyle\gamma}}$: arbitrary constant
• ${\displaystyle{\displaystyle\delta}}$: arbitrary constant
 

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