2.1846   ODE No. 1846

\[ 2 y^{(3)}(x) y'(x)-3 y'(x)^2=0 \] Mathematica : cpu = 0.0332201 (sec), leaf count = 51


\[\left \{\{y(x)\to c_1\},\left \{y(x)\to \sqrt {\frac {2}{3}} e^{-\sqrt {\frac {3}{2}} x} \left (c_1 e^{\sqrt {6} x}-c_2\right )+c_3\right \}\right \}\] Maple : cpu = 0.015 (sec), leaf count = 28


\[y \relax (x ) = c_{1}+c_{2} {\mathrm e}^{\frac {\sqrt {6}\, x}{2}}+c_{3} {\mathrm e}^{-\frac {\sqrt {6}\, x}{2}}\]