2.462   ODE No. 462

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

\[ y(x) y'(x)^2-1=0 \] Mathematica : cpu = 0.0209024 (sec), leaf count = 43

\[\left \{\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} (-x+c_1){}^{2/3}\right \},\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} (x+c_1){}^{2/3}\right \}\right \}\] Maple : cpu = 0.086 (sec), leaf count = 27

\[ \left \{ x-{\frac {2}{3} \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}}-{\it \_C1}=0,x+{\frac {2}{3} \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}}-{\it \_C1}=0 \right \} \]