2.1846   ODE No. 1846

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ 2 y^{(3)}(x) y'(x)-3 y'(x)^2=0 \] Mathematica : cpu = 0.0363249 (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 = 0.018 (sec), leaf count = 28

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