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Solution of linear homogeneous differential equations with variable coefficients of some class. (Russian) Zbl 0608.34010

Der Autor gibt explizite Lösungen der Gleichung \[ y''- (\frac{f'}{f}y'+[\frac{3}{4}(\frac{f'}{f})^ 2-\frac{1}{2}\frac{f''}{f}- \frac{3}{4}(\frac{h''}{h'})^ 2+ \]
\[ +\frac{1}{2}\frac{h\prime''}{h'}- \frac{k}{h}-\frac{((1/4)-m^ 2)}{h^ 2})(h')^ 2]y=0 \] an.
Reviewer: J.Appell

MSC:

34A30 Linear ordinary differential equations and systems
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