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 = 0.0323886 (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 = 0.044 (sec), leaf count = 28

\[ \left \{ y \left ( x \right ) ={\it \_C1},y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,{{\rm e}^{{\frac {\sqrt {6}x}{2}}}}+{\it \_C3}\,{{\rm e}^{-{\frac {\sqrt {6}x}{2}}}} \right \} \]