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1^{ o }. A homogeneous linear equation of the third order has the general form 1 f 3 ( x ) y x x x ″ ′ + f 2 ( x ) y x x ″ + f 1 ( x ) y x ′ + f 0 ( x ) y = 0 . $$ f_{3} (x)y_{{xxx}}^{{\prime\prime\prime}} + f_{2} (x)y_{{xx}}^{{\prime\prime}} + f_{1} (x)y_{x}^{\prime} + f_{0} (x)y = 0 . $$
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