2.462   ODE No. 462

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

\[ y(x) y'(x)^2-1=0 \] Mathematica : cpu = 0.0319725 (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 = 0.044 (sec), leaf count = 27

\[\left \{-\frac {2 y \left (x \right )^{\frac {3}{2}}}{3}-c_{1}+x = 0, \frac {2 y \left (x \right )^{\frac {3}{2}}}{3}-c_{1}+x = 0\right \}\]